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Finding the Fourth Proportional to 47.81, 66.02 and 34.90

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Solution

The fourth proportional to 47.81, 66.02 and 34.90 is: 48.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.81 : 66.02 = 34.90 : x
  2. Step 2: Convert to fraction form
    47.81/66.02 = 34.90/x
  3. Step 3: Cross multiply
    47.81x = 66.02 × 34.90
  4. Step 4: Simplify right side
    47.81x = 2,303.76
  5. Step 5: Solve for x
    x = 2,303.76/47.81
  6. Step 6: Final answer
    x = 48.18

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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.