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Finding the Fourth Proportional to 48.24, 72.33 and 17.39

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Solution

The fourth proportional to 48.24, 72.33 and 17.39 is: 26.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.24 : 72.33 = 17.39 : x
  2. Step 2: Convert to fraction form
    48.24/72.33 = 17.39/x
  3. Step 3: Cross multiply
    48.24x = 72.33 × 17.39
  4. Step 4: Simplify right side
    48.24x = 1,257.46
  5. Step 5: Solve for x
    x = 1,257.46/48.24
  6. Step 6: Final answer
    x = 26.07

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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.