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Finding the Fourth Proportional to 229.71, 317.02 and 130.17

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Solution

The fourth proportional to 229.71, 317.02 and 130.17 is: 179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.71 : 317.02 = 130.17 : x
  2. Step 2: Convert to fraction form
    229.71/317.02 = 130.17/x
  3. Step 3: Cross multiply
    229.71x = 317.02 × 130.17
  4. Step 4: Simplify right side
    229.71x = 41,266.49
  5. Step 5: Solve for x
    x = 41,266.49/229.71
  6. Step 6: Final answer
    x = 179.65

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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.