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Finding the Fourth Proportional to 42.45, 63.45 and 29.58

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Solution

The fourth proportional to 42.45, 63.45 and 29.58 is: 44.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.45 : 63.45 = 29.58 : x
  2. Step 2: Convert to fraction form
    42.45/63.45 = 29.58/x
  3. Step 3: Cross multiply
    42.45x = 63.45 × 29.58
  4. Step 4: Simplify right side
    42.45x = 1,876.85
  5. Step 5: Solve for x
    x = 1,876.85/42.45
  6. Step 6: Final answer
    x = 44.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.