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Finding the Fourth Proportional to 429.90, 592.79 and 311.64

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Solution

The fourth proportional to 429.90, 592.79 and 311.64 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.90 : 592.79 = 311.64 : x
  2. Step 2: Convert to fraction form
    429.90/592.79 = 311.64/x
  3. Step 3: Cross multiply
    429.90x = 592.79 × 311.64
  4. Step 4: Simplify right side
    429.90x = 184,737.08
  5. Step 5: Solve for x
    x = 184,737.08/429.90
  6. Step 6: Final answer
    x = 429.72

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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.