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Finding the Fourth Proportional to 48.24, 72.50 and 27.96

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Solution

The fourth proportional to 48.24, 72.50 and 27.96 is: 42.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.24 : 72.50 = 27.96 : x
  2. Step 2: Convert to fraction form
    48.24/72.50 = 27.96/x
  3. Step 3: Cross multiply
    48.24x = 72.50 × 27.96
  4. Step 4: Simplify right side
    48.24x = 2,026.69
  5. Step 5: Solve for x
    x = 2,026.69/48.24
  6. Step 6: Final answer
    x = 42.01

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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.