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Finding the Fourth Proportional to 47.25, 71.05 and 43.49

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Solution

The fourth proportional to 47.25, 71.05 and 43.49 is: 65.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.25 : 71.05 = 43.49 : x
  2. Step 2: Convert to fraction form
    47.25/71.05 = 43.49/x
  3. Step 3: Cross multiply
    47.25x = 71.05 × 43.49
  4. Step 4: Simplify right side
    47.25x = 3,089.79
  5. Step 5: Solve for x
    x = 3,089.79/47.25
  6. Step 6: Final answer
    x = 65.39

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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.