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Finding the Fourth Proportional to 431.62, 595.45 and 256.96

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Solution

The fourth proportional to 431.62, 595.45 and 256.96 is: 354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.62 : 595.45 = 256.96 : x
  2. Step 2: Convert to fraction form
    431.62/595.45 = 256.96/x
  3. Step 3: Cross multiply
    431.62x = 595.45 × 256.96
  4. Step 4: Simplify right side
    431.62x = 153,006.83
  5. Step 5: Solve for x
    x = 153,006.83/431.62
  6. Step 6: Final answer
    x = 354.49

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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.