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Finding the Fourth Proportional to 42.60, 64.20 and 37.44

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Solution

The fourth proportional to 42.60, 64.20 and 37.44 is: 56.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.60 : 64.20 = 37.44 : x
  2. Step 2: Convert to fraction form
    42.60/64.20 = 37.44/x
  3. Step 3: Cross multiply
    42.60x = 64.20 × 37.44
  4. Step 4: Simplify right side
    42.60x = 2,403.65
  5. Step 5: Solve for x
    x = 2,403.65/42.60
  6. Step 6: Final answer
    x = 56.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.