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Finding the Fourth Proportional to 48.37, 72.25 and 37.53

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Solution

The fourth proportional to 48.37, 72.25 and 37.53 is: 56.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.37 : 72.25 = 37.53 : x
  2. Step 2: Convert to fraction form
    48.37/72.25 = 37.53/x
  3. Step 3: Cross multiply
    48.37x = 72.25 × 37.53
  4. Step 4: Simplify right side
    48.37x = 2,711.54
  5. Step 5: Solve for x
    x = 2,711.54/48.37
  6. Step 6: Final answer
    x = 56.06

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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.