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Finding the Fourth Proportional to 48.57, 67.00 and 40.81

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Solution

The fourth proportional to 48.57, 67.00 and 40.81 is: 56.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.57 : 67.00 = 40.81 : x
  2. Step 2: Convert to fraction form
    48.57/67.00 = 40.81/x
  3. Step 3: Cross multiply
    48.57x = 67.00 × 40.81
  4. Step 4: Simplify right side
    48.57x = 2,733.83
  5. Step 5: Solve for x
    x = 2,733.83/48.57
  6. Step 6: Final answer
    x = 56.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.