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Finding the Fourth Proportional to 229.74, 317.54 and 168.01

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Solution

The fourth proportional to 229.74, 317.54 and 168.01 is: 232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.74 : 317.54 = 168.01 : x
  2. Step 2: Convert to fraction form
    229.74/317.54 = 168.01/x
  3. Step 3: Cross multiply
    229.74x = 317.54 × 168.01
  4. Step 4: Simplify right side
    229.74x = 53,348.58
  5. Step 5: Solve for x
    x = 53,348.58/229.74
  6. Step 6: Final answer
    x = 232.22

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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.