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Finding the Fourth Proportional to 48.66, 72.46 and 48.52

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Solution

The fourth proportional to 48.66, 72.46 and 48.52 is: 72.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.66 : 72.46 = 48.52 : x
  2. Step 2: Convert to fraction form
    48.66/72.46 = 48.52/x
  3. Step 3: Cross multiply
    48.66x = 72.46 × 48.52
  4. Step 4: Simplify right side
    48.66x = 3,515.52
  5. Step 5: Solve for x
    x = 3,515.52/48.66
  6. Step 6: Final answer
    x = 72.25

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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.