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Finding the Fourth Proportional to 42.07, 62.81 and 35.32

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Solution

The fourth proportional to 42.07, 62.81 and 35.32 is: 52.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.07 : 62.81 = 35.32 : x
  2. Step 2: Convert to fraction form
    42.07/62.81 = 35.32/x
  3. Step 3: Cross multiply
    42.07x = 62.81 × 35.32
  4. Step 4: Simplify right side
    42.07x = 2,218.45
  5. Step 5: Solve for x
    x = 2,218.45/42.07
  6. Step 6: Final answer
    x = 52.73

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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.