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Finding the Fourth Proportional to 48.42, 72.46 and 45.48

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Solution

The fourth proportional to 48.42, 72.46 and 45.48 is: 68.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.42 : 72.46 = 45.48 : x
  2. Step 2: Convert to fraction form
    48.42/72.46 = 45.48/x
  3. Step 3: Cross multiply
    48.42x = 72.46 × 45.48
  4. Step 4: Simplify right side
    48.42x = 3,295.48
  5. Step 5: Solve for x
    x = 3,295.48/48.42
  6. Step 6: Final answer
    x = 68.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.