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Finding the Fourth Proportional to 314.55, 471.69 and 257.31

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Solution

The fourth proportional to 314.55, 471.69 and 257.31 is: 385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.55 : 471.69 = 257.31 : x
  2. Step 2: Convert to fraction form
    314.55/471.69 = 257.31/x
  3. Step 3: Cross multiply
    314.55x = 471.69 × 257.31
  4. Step 4: Simplify right side
    314.55x = 121,370.55
  5. Step 5: Solve for x
    x = 121,370.55/314.55
  6. Step 6: Final answer
    x = 385.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.