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Finding the Fourth Proportional to 240.77, 332.13 and 141.14

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Solution

The fourth proportional to 240.77, 332.13 and 141.14 is: 194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.77 : 332.13 = 141.14 : x
  2. Step 2: Convert to fraction form
    240.77/332.13 = 141.14/x
  3. Step 3: Cross multiply
    240.77x = 332.13 × 141.14
  4. Step 4: Simplify right side
    240.77x = 46,878.19
  5. Step 5: Solve for x
    x = 46,878.19/240.77
  6. Step 6: Final answer
    x = 194.70

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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.