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Finding the Fourth Proportional to 242.20, 361.56 and 205.74

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Solution

The fourth proportional to 242.20, 361.56 and 205.74 is: 307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.20 : 361.56 = 205.74 : x
  2. Step 2: Convert to fraction form
    242.20/361.56 = 205.74/x
  3. Step 3: Cross multiply
    242.20x = 361.56 × 205.74
  4. Step 4: Simplify right side
    242.20x = 74,386.33
  5. Step 5: Solve for x
    x = 74,386.33/242.20
  6. Step 6: Final answer
    x = 307.13

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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.