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Finding the Fourth Proportional to 48.17, 66.55 and 33.69

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Solution

The fourth proportional to 48.17, 66.55 and 33.69 is: 46.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.17 : 66.55 = 33.69 : x
  2. Step 2: Convert to fraction form
    48.17/66.55 = 33.69/x
  3. Step 3: Cross multiply
    48.17x = 66.55 × 33.69
  4. Step 4: Simplify right side
    48.17x = 2,242.07
  5. Step 5: Solve for x
    x = 2,242.07/48.17
  6. Step 6: Final answer
    x = 46.54

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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.