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Finding the Fourth Proportional to 429.28, 592.34 and 242.78

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Solution

The fourth proportional to 429.28, 592.34 and 242.78 is: 334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.28 : 592.34 = 242.78 : x
  2. Step 2: Convert to fraction form
    429.28/592.34 = 242.78/x
  3. Step 3: Cross multiply
    429.28x = 592.34 × 242.78
  4. Step 4: Simplify right side
    429.28x = 143,804.13
  5. Step 5: Solve for x
    x = 143,804.13/429.28
  6. Step 6: Final answer
    x = 334.99

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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.