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Finding the Fourth Proportional to 48.10, 71.57 and 46.66

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Solution

The fourth proportional to 48.10, 71.57 and 46.66 is: 69.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.10 : 71.57 = 46.66 : x
  2. Step 2: Convert to fraction form
    48.10/71.57 = 46.66/x
  3. Step 3: Cross multiply
    48.10x = 71.57 × 46.66
  4. Step 4: Simplify right side
    48.10x = 3,339.46
  5. Step 5: Solve for x
    x = 3,339.46/48.10
  6. Step 6: Final answer
    x = 69.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.