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Finding the Fourth Proportional to 307.82, 424.78 and 176.90

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Solution

The fourth proportional to 307.82, 424.78 and 176.90 is: 244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 424.78 = 176.90 : x
  2. Step 2: Convert to fraction form
    307.82/424.78 = 176.90/x
  3. Step 3: Cross multiply
    307.82x = 424.78 × 176.90
  4. Step 4: Simplify right side
    307.82x = 75,141.46
  5. Step 5: Solve for x
    x = 75,141.46/307.82
  6. Step 6: Final answer
    x = 244.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.