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Finding the Fourth Proportional to 48.30, 66.57 and 46.95

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Solution

The fourth proportional to 48.30, 66.57 and 46.95 is: 64.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.30 : 66.57 = 46.95 : x
  2. Step 2: Convert to fraction form
    48.30/66.57 = 46.95/x
  3. Step 3: Cross multiply
    48.30x = 66.57 × 46.95
  4. Step 4: Simplify right side
    48.30x = 3,125.46
  5. Step 5: Solve for x
    x = 3,125.46/48.30
  6. Step 6: Final answer
    x = 64.71

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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.