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Finding the Fourth Proportional to 230.06, 317.59 and 142.79

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Solution

The fourth proportional to 230.06, 317.59 and 142.79 is: 197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 317.59 = 142.79 : x
  2. Step 2: Convert to fraction form
    230.06/317.59 = 142.79/x
  3. Step 3: Cross multiply
    230.06x = 317.59 × 142.79
  4. Step 4: Simplify right side
    230.06x = 45,346.73
  5. Step 5: Solve for x
    x = 45,346.73/230.06
  6. Step 6: Final answer
    x = 197.11

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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.