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Finding the Fourth Proportional to 540.76, 746.32 and 319.76

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Solution

The fourth proportional to 540.76, 746.32 and 319.76 is: 441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.76 : 746.32 = 319.76 : x
  2. Step 2: Convert to fraction form
    540.76/746.32 = 319.76/x
  3. Step 3: Cross multiply
    540.76x = 746.32 × 319.76
  4. Step 4: Simplify right side
    540.76x = 238,643.28
  5. Step 5: Solve for x
    x = 238,643.28/540.76
  6. Step 6: Final answer
    x = 441.31

Related Problems

Find fourth proportional to 270.38, 373.16 and 159.88
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.