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Finding the Fourth Proportional to 82.24, 123.35 and 24.47

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Solution

The fourth proportional to 82.24, 123.35 and 24.47 is: 36.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 123.35 = 24.47 : x
  2. Step 2: Convert to fraction form
    82.24/123.35 = 24.47/x
  3. Step 3: Cross multiply
    82.24x = 123.35 × 24.47
  4. Step 4: Simplify right side
    82.24x = 3,018.37
  5. Step 5: Solve for x
    x = 3,018.37/82.24
  6. Step 6: Final answer
    x = 36.70

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