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Finding the Fourth Proportional to 48.38, 66.78 and 35.46

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Solution

The fourth proportional to 48.38, 66.78 and 35.46 is: 48.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.38 : 66.78 = 35.46 : x
  2. Step 2: Convert to fraction form
    48.38/66.78 = 35.46/x
  3. Step 3: Cross multiply
    48.38x = 66.78 × 35.46
  4. Step 4: Simplify right side
    48.38x = 2,368.02
  5. Step 5: Solve for x
    x = 2,368.02/48.38
  6. Step 6: Final answer
    x = 48.95

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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.