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Finding the Fourth Proportional to 431.61, 595.31 and 291.66

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Solution

The fourth proportional to 431.61, 595.31 and 291.66 is: 402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.61 : 595.31 = 291.66 : x
  2. Step 2: Convert to fraction form
    431.61/595.31 = 291.66/x
  3. Step 3: Cross multiply
    431.61x = 595.31 × 291.66
  4. Step 4: Simplify right side
    431.61x = 173,626.66
  5. Step 5: Solve for x
    x = 173,626.66/431.61
  6. Step 6: Final answer
    x = 402.28

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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.