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Finding the Fourth Proportional to 48.20, 72.24 and 21.12

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Solution

The fourth proportional to 48.20, 72.24 and 21.12 is: 31.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.20 : 72.24 = 21.12 : x
  2. Step 2: Convert to fraction form
    48.20/72.24 = 21.12/x
  3. Step 3: Cross multiply
    48.20x = 72.24 × 21.12
  4. Step 4: Simplify right side
    48.20x = 1,525.71
  5. Step 5: Solve for x
    x = 1,525.71/48.20
  6. Step 6: Final answer
    x = 31.65

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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.