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Finding the Fourth Proportional to 47.39, 65.33 and 33.55

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Solution

The fourth proportional to 47.39, 65.33 and 33.55 is: 46.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.39 : 65.33 = 33.55 : x
  2. Step 2: Convert to fraction form
    47.39/65.33 = 33.55/x
  3. Step 3: Cross multiply
    47.39x = 65.33 × 33.55
  4. Step 4: Simplify right side
    47.39x = 2,191.49
  5. Step 5: Solve for x
    x = 2,191.49/47.39
  6. Step 6: Final answer
    x = 46.24

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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.