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Finding the Fourth Proportional to 429.13, 591.87 and 311.55

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Solution

The fourth proportional to 429.13, 591.87 and 311.55 is: 429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.13 : 591.87 = 311.55 : x
  2. Step 2: Convert to fraction form
    429.13/591.87 = 311.55/x
  3. Step 3: Cross multiply
    429.13x = 591.87 × 311.55
  4. Step 4: Simplify right side
    429.13x = 184,397.10
  5. Step 5: Solve for x
    x = 184,397.10/429.13
  6. Step 6: Final answer
    x = 429.70

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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.