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Finding the Fourth Proportional to 204.65, 307.13 and 113.42

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Solution

The fourth proportional to 204.65, 307.13 and 113.42 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.65 : 307.13 = 113.42 : x
  2. Step 2: Convert to fraction form
    204.65/307.13 = 113.42/x
  3. Step 3: Cross multiply
    204.65x = 307.13 × 113.42
  4. Step 4: Simplify right side
    204.65x = 34,834.89
  5. Step 5: Solve for x
    x = 34,834.89/204.65
  6. Step 6: Final answer
    x = 170.21

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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.