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Finding the Fourth Proportional to 47.76, 66.36 and 47.18

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Solution

The fourth proportional to 47.76, 66.36 and 47.18 is: 65.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.76 : 66.36 = 47.18 : x
  2. Step 2: Convert to fraction form
    47.76/66.36 = 47.18/x
  3. Step 3: Cross multiply
    47.76x = 66.36 × 47.18
  4. Step 4: Simplify right side
    47.76x = 3,130.86
  5. Step 5: Solve for x
    x = 3,130.86/47.76
  6. Step 6: Final answer
    x = 65.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.