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Finding the Fourth Proportional to 48.90, 72.84 and 47.49

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Solution

The fourth proportional to 48.90, 72.84 and 47.49 is: 70.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.90 : 72.84 = 47.49 : x
  2. Step 2: Convert to fraction form
    48.90/72.84 = 47.49/x
  3. Step 3: Cross multiply
    48.90x = 72.84 × 47.49
  4. Step 4: Simplify right side
    48.90x = 3,459.17
  5. Step 5: Solve for x
    x = 3,459.17/48.90
  6. Step 6: Final answer
    x = 70.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.