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Finding the Fourth Proportional to 431.65, 595.39 and 291.70

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Solution

The fourth proportional to 431.65, 595.39 and 291.70 is: 402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.65 : 595.39 = 291.70 : x
  2. Step 2: Convert to fraction form
    431.65/595.39 = 291.70/x
  3. Step 3: Cross multiply
    431.65x = 595.39 × 291.70
  4. Step 4: Simplify right side
    431.65x = 173,675.41
  5. Step 5: Solve for x
    x = 173,675.41/431.65
  6. Step 6: Final answer
    x = 402.35

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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.