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Finding the Fourth Proportional to 242.80, 366.06 and 240.08

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Solution

The fourth proportional to 242.80, 366.06 and 240.08 is: 361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.80 : 366.06 = 240.08 : x
  2. Step 2: Convert to fraction form
    242.80/366.06 = 240.08/x
  3. Step 3: Cross multiply
    242.80x = 366.06 × 240.08
  4. Step 4: Simplify right side
    242.80x = 87,883.68
  5. Step 5: Solve for x
    x = 87,883.68/242.80
  6. Step 6: Final answer
    x = 361.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.