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Finding the Fourth Proportional to 429.52, 592.02 and 311.08

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Solution

The fourth proportional to 429.52, 592.02 and 311.08 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.52 : 592.02 = 311.08 : x
  2. Step 2: Convert to fraction form
    429.52/592.02 = 311.08/x
  3. Step 3: Cross multiply
    429.52x = 592.02 × 311.08
  4. Step 4: Simplify right side
    429.52x = 184,165.58
  5. Step 5: Solve for x
    x = 184,165.58/429.52
  6. Step 6: Final answer
    x = 428.77

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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.