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Finding the Fourth Proportional to 431.74, 595.59 and 291.87

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Solution

The fourth proportional to 431.74, 595.59 and 291.87 is: 402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 595.59 = 291.87 : x
  2. Step 2: Convert to fraction form
    431.74/595.59 = 291.87/x
  3. Step 3: Cross multiply
    431.74x = 595.59 × 291.87
  4. Step 4: Simplify right side
    431.74x = 173,834.85
  5. Step 5: Solve for x
    x = 173,834.85/431.74
  6. Step 6: Final answer
    x = 402.64

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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.