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Finding the Fourth Proportional to 39.82, 59.76 and 30.66

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Solution

The fourth proportional to 39.82, 59.76 and 30.66 is: 46.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.82 : 59.76 = 30.66 : x
  2. Step 2: Convert to fraction form
    39.82/59.76 = 30.66/x
  3. Step 3: Cross multiply
    39.82x = 59.76 × 30.66
  4. Step 4: Simplify right side
    39.82x = 1,831.94
  5. Step 5: Solve for x
    x = 1,831.94/39.82
  6. Step 6: Final answer
    x = 46.01

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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.