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Finding the Fourth Proportional to 431.77, 595.62 and 291.70

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Solution

The fourth proportional to 431.77, 595.62 and 291.70 is: 402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.77 : 595.62 = 291.70 : x
  2. Step 2: Convert to fraction form
    431.77/595.62 = 291.70/x
  3. Step 3: Cross multiply
    431.77x = 595.62 × 291.70
  4. Step 4: Simplify right side
    431.77x = 173,742.35
  5. Step 5: Solve for x
    x = 173,742.35/431.77
  6. Step 6: Final answer
    x = 402.40

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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.