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Finding the Fourth Proportional to 429.13, 592.19 and 242.62

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Solution

The fourth proportional to 429.13, 592.19 and 242.62 is: 334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.13 : 592.19 = 242.62 : x
  2. Step 2: Convert to fraction form
    429.13/592.19 = 242.62/x
  3. Step 3: Cross multiply
    429.13x = 592.19 × 242.62
  4. Step 4: Simplify right side
    429.13x = 143,677.14
  5. Step 5: Solve for x
    x = 143,677.14/429.13
  6. Step 6: Final answer
    x = 334.81

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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.