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Finding the Fourth Proportional to 431.92, 595.85 and 257.16

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Solution

The fourth proportional to 431.92, 595.85 and 257.16 is: 354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.92 : 595.85 = 257.16 : x
  2. Step 2: Convert to fraction form
    431.92/595.85 = 257.16/x
  3. Step 3: Cross multiply
    431.92x = 595.85 × 257.16
  4. Step 4: Simplify right side
    431.92x = 153,227.50
  5. Step 5: Solve for x
    x = 153,227.50/431.92
  6. Step 6: Final answer
    x = 354.76

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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.