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Finding the Fourth Proportional to 540.92, 746.50 and 319.72

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Solution

The fourth proportional to 540.92, 746.50 and 319.72 is: 441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.92 : 746.50 = 319.72 : x
  2. Step 2: Convert to fraction form
    540.92/746.50 = 319.72/x
  3. Step 3: Cross multiply
    540.92x = 746.50 × 319.72
  4. Step 4: Simplify right side
    540.92x = 238,670.98
  5. Step 5: Solve for x
    x = 238,670.98/540.92
  6. Step 6: Final answer
    x = 441.23

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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.