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Finding the Fourth Proportional to 314.26, 432 and 280.71

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Solution

The fourth proportional to 314.26, 432 and 280.71 is: 385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 432 = 280.71 : x
  2. Step 2: Convert to fraction form
    314.26/432 = 280.71/x
  3. Step 3: Cross multiply
    314.26x = 432 × 280.71
  4. Step 4: Simplify right side
    314.26x = 121,266.72
  5. Step 5: Solve for x
    x = 121,266.72/314.26
  6. Step 6: Final answer
    x = 385.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.