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Finding the Fourth Proportional to 429.37, 592.18 and 311.11

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Solution

The fourth proportional to 429.37, 592.18 and 311.11 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.37 : 592.18 = 311.11 : x
  2. Step 2: Convert to fraction form
    429.37/592.18 = 311.11/x
  3. Step 3: Cross multiply
    429.37x = 592.18 × 311.11
  4. Step 4: Simplify right side
    429.37x = 184,233.12
  5. Step 5: Solve for x
    x = 184,233.12/429.37
  6. Step 6: Final answer
    x = 429.08

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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.