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Finding the Fourth Proportional to 48.69, 73.20 and 29.49

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Solution

The fourth proportional to 48.69, 73.20 and 29.49 is: 44.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.69 : 73.20 = 29.49 : x
  2. Step 2: Convert to fraction form
    48.69/73.20 = 29.49/x
  3. Step 3: Cross multiply
    48.69x = 73.20 × 29.49
  4. Step 4: Simplify right side
    48.69x = 2,158.67
  5. Step 5: Solve for x
    x = 2,158.67/48.69
  6. Step 6: Final answer
    x = 44.33

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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.