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Finding the Fourth Proportional to 314.76, 434.40 and 255.26

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Solution

The fourth proportional to 314.76, 434.40 and 255.26 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 434.40 = 255.26 : x
  2. Step 2: Convert to fraction form
    314.76/434.40 = 255.26/x
  3. Step 3: Cross multiply
    314.76x = 434.40 × 255.26
  4. Step 4: Simplify right side
    314.76x = 110,884.94
  5. Step 5: Solve for x
    x = 110,884.94/314.76
  6. Step 6: Final answer
    x = 352.28

Related Problems

Find fourth proportional to 157.38, 217.20 and 127.63
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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.