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Finding the Fourth Proportional to 42.10, 58.13 and 32.29

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Solution

The fourth proportional to 42.10, 58.13 and 32.29 is: 44.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 58.13 = 32.29 : x
  2. Step 2: Convert to fraction form
    42.10/58.13 = 32.29/x
  3. Step 3: Cross multiply
    42.10x = 58.13 × 32.29
  4. Step 4: Simplify right side
    42.10x = 1,877.02
  5. Step 5: Solve for x
    x = 1,877.02/42.10
  6. Step 6: Final answer
    x = 44.58

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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.