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Finding the Fourth Proportional to 48.16, 71.73 and 40.78

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Solution

The fourth proportional to 48.16, 71.73 and 40.78 is: 60.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.16 : 71.73 = 40.78 : x
  2. Step 2: Convert to fraction form
    48.16/71.73 = 40.78/x
  3. Step 3: Cross multiply
    48.16x = 71.73 × 40.78
  4. Step 4: Simplify right side
    48.16x = 2,925.15
  5. Step 5: Solve for x
    x = 2,925.15/48.16
  6. Step 6: Final answer
    x = 60.74

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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.