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Finding the Fourth Proportional to 307.96, 424.98 and 177.04

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Solution

The fourth proportional to 307.96, 424.98 and 177.04 is: 244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.96 : 424.98 = 177.04 : x
  2. Step 2: Convert to fraction form
    307.96/424.98 = 177.04/x
  3. Step 3: Cross multiply
    307.96x = 424.98 × 177.04
  4. Step 4: Simplify right side
    307.96x = 75,238.46
  5. Step 5: Solve for x
    x = 75,238.46/307.96
  6. Step 6: Final answer
    x = 244.31

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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.