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Finding the Fourth Proportional to 307.59, 424.86 and 229.02

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Solution

The fourth proportional to 307.59, 424.86 and 229.02 is: 316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.59 : 424.86 = 229.02 : x
  2. Step 2: Convert to fraction form
    307.59/424.86 = 229.02/x
  3. Step 3: Cross multiply
    307.59x = 424.86 × 229.02
  4. Step 4: Simplify right side
    307.59x = 97,301.44
  5. Step 5: Solve for x
    x = 97,301.44/307.59
  6. Step 6: Final answer
    x = 316.33

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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.