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Finding the Fourth Proportional to 62.15, 93.12 and 42.82

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Solution

The fourth proportional to 62.15, 93.12 and 42.82 is: 64.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.15 : 93.12 = 42.82 : x
  2. Step 2: Convert to fraction form
    62.15/93.12 = 42.82/x
  3. Step 3: Cross multiply
    62.15x = 93.12 × 42.82
  4. Step 4: Simplify right side
    62.15x = 3,987.40
  5. Step 5: Solve for x
    x = 3,987.40/62.15
  6. Step 6: Final answer
    x = 64.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.