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Finding the Fourth Proportional to 48.67, 72.90 and 41.00

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Solution

The fourth proportional to 48.67, 72.90 and 41.00 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.67 : 72.90 = 41.00 : x
  2. Step 2: Convert to fraction form
    48.67/72.90 = 41.00/x
  3. Step 3: Cross multiply
    48.67x = 72.90 × 41.00
  4. Step 4: Simplify right side
    48.67x = 2,988.54
  5. Step 5: Solve for x
    x = 2,988.54/48.67
  6. Step 6: Final answer
    x = 61.41

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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.