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Finding the Fourth Proportional to 71.93, 99.24 and 40.82

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Solution

The fourth proportional to 71.93, 99.24 and 40.82 is: 56.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.93 : 99.24 = 40.82 : x
  2. Step 2: Convert to fraction form
    71.93/99.24 = 40.82/x
  3. Step 3: Cross multiply
    71.93x = 99.24 × 40.82
  4. Step 4: Simplify right side
    71.93x = 4,050.93
  5. Step 5: Solve for x
    x = 4,050.93/71.93
  6. Step 6: Final answer
    x = 56.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.