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Finding the Fourth Proportional to 48.02, 71.42 and 47.48

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Solution

The fourth proportional to 48.02, 71.42 and 47.48 is: 70.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.02 : 71.42 = 47.48 : x
  2. Step 2: Convert to fraction form
    48.02/71.42 = 47.48/x
  3. Step 3: Cross multiply
    48.02x = 71.42 × 47.48
  4. Step 4: Simplify right side
    48.02x = 3,390.78
  5. Step 5: Solve for x
    x = 3,390.78/48.02
  6. Step 6: Final answer
    x = 70.61

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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.