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Finding the Fourth Proportional to 242.17, 362.71 and 170.35

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Solution

The fourth proportional to 242.17, 362.71 and 170.35 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.17 : 362.71 = 170.35 : x
  2. Step 2: Convert to fraction form
    242.17/362.71 = 170.35/x
  3. Step 3: Cross multiply
    242.17x = 362.71 × 170.35
  4. Step 4: Simplify right side
    242.17x = 61,787.65
  5. Step 5: Solve for x
    x = 61,787.65/242.17
  6. Step 6: Final answer
    x = 255.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.