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Finding the Fourth Proportional to 47.66, 64.90 and 47.38

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Solution

The fourth proportional to 47.66, 64.90 and 47.38 is: 64.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.66 : 64.90 = 47.38 : x
  2. Step 2: Convert to fraction form
    47.66/64.90 = 47.38/x
  3. Step 3: Cross multiply
    47.66x = 64.90 × 47.38
  4. Step 4: Simplify right side
    47.66x = 3,074.96
  5. Step 5: Solve for x
    x = 3,074.96/47.66
  6. Step 6: Final answer
    x = 64.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.