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Finding the Fourth Proportional to 229.47, 316.82 and 159.51

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Solution

The fourth proportional to 229.47, 316.82 and 159.51 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.47 : 316.82 = 159.51 : x
  2. Step 2: Convert to fraction form
    229.47/316.82 = 159.51/x
  3. Step 3: Cross multiply
    229.47x = 316.82 × 159.51
  4. Step 4: Simplify right side
    229.47x = 50,535.96
  5. Step 5: Solve for x
    x = 50,535.96/229.47
  6. Step 6: Final answer
    x = 220.23

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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.