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Finding the Fourth Proportional to 30.61, 42.20 and 24.81

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Solution

The fourth proportional to 30.61, 42.20 and 24.81 is: 34.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.61 : 42.20 = 24.81 : x
  2. Step 2: Convert to fraction form
    30.61/42.20 = 24.81/x
  3. Step 3: Cross multiply
    30.61x = 42.20 × 24.81
  4. Step 4: Simplify right side
    30.61x = 1,046.79
  5. Step 5: Solve for x
    x = 1,046.79/30.61
  6. Step 6: Final answer
    x = 34.20

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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.