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Finding the Fourth Proportional to 307.65, 463.29 and 231.18

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Solution

The fourth proportional to 307.65, 463.29 and 231.18 is: 348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.65 : 463.29 = 231.18 : x
  2. Step 2: Convert to fraction form
    307.65/463.29 = 231.18/x
  3. Step 3: Cross multiply
    307.65x = 463.29 × 231.18
  4. Step 4: Simplify right side
    307.65x = 107,103.38
  5. Step 5: Solve for x
    x = 107,103.38/307.65
  6. Step 6: Final answer
    x = 348.13

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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.