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Finding the Fourth Proportional to 48.74, 67.30 and 31.50

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Solution

The fourth proportional to 48.74, 67.30 and 31.50 is: 43.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.74 : 67.30 = 31.50 : x
  2. Step 2: Convert to fraction form
    48.74/67.30 = 31.50/x
  3. Step 3: Cross multiply
    48.74x = 67.30 × 31.50
  4. Step 4: Simplify right side
    48.74x = 2,119.95
  5. Step 5: Solve for x
    x = 2,119.95/48.74
  6. Step 6: Final answer
    x = 43.50

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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.