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Finding the Fourth Proportional to 42.96, 64.08 and 42.20

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Solution

The fourth proportional to 42.96, 64.08 and 42.20 is: 62.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.96 : 64.08 = 42.20 : x
  2. Step 2: Convert to fraction form
    42.96/64.08 = 42.20/x
  3. Step 3: Cross multiply
    42.96x = 64.08 × 42.20
  4. Step 4: Simplify right side
    42.96x = 2,704.18
  5. Step 5: Solve for x
    x = 2,704.18/42.96
  6. Step 6: Final answer
    x = 62.95

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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.