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Finding the Fourth Proportional to 32.48, 44.62 and 29.42

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Solution

The fourth proportional to 32.48, 44.62 and 29.42 is: 40.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.48 : 44.62 = 29.42 : x
  2. Step 2: Convert to fraction form
    32.48/44.62 = 29.42/x
  3. Step 3: Cross multiply
    32.48x = 44.62 × 29.42
  4. Step 4: Simplify right side
    32.48x = 1,312.72
  5. Step 5: Solve for x
    x = 1,312.72/32.48
  6. Step 6: Final answer
    x = 40.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.