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Finding the Fourth Proportional to 48.57, 66.98 and 40.82

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Solution

The fourth proportional to 48.57, 66.98 and 40.82 is: 56.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.57 : 66.98 = 40.82 : x
  2. Step 2: Convert to fraction form
    48.57/66.98 = 40.82/x
  3. Step 3: Cross multiply
    48.57x = 66.98 × 40.82
  4. Step 4: Simplify right side
    48.57x = 2,733.58
  5. Step 5: Solve for x
    x = 2,733.58/48.57
  6. Step 6: Final answer
    x = 56.28

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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.