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Finding the Fourth Proportional to 429.34, 592.49 and 281.97

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Solution

The fourth proportional to 429.34, 592.49 and 281.97 is: 389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.34 : 592.49 = 281.97 : x
  2. Step 2: Convert to fraction form
    429.34/592.49 = 281.97/x
  3. Step 3: Cross multiply
    429.34x = 592.49 × 281.97
  4. Step 4: Simplify right side
    429.34x = 167,064.41
  5. Step 5: Solve for x
    x = 167,064.41/429.34
  6. Step 6: Final answer
    x = 389.12

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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.