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Finding the Fourth Proportional to 42.40, 63.32 and 37

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Solution

The fourth proportional to 42.40, 63.32 and 37 is: 55.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.40 : 63.32 = 37 : x
  2. Step 2: Convert to fraction form
    42.40/63.32 = 37/x
  3. Step 3: Cross multiply
    42.40x = 63.32 × 37
  4. Step 4: Simplify right side
    42.40x = 2,342.84
  5. Step 5: Solve for x
    x = 2,342.84/42.40
  6. Step 6: Final answer
    x = 55.26

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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.