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Finding the Fourth Proportional to 230.12, 317.53 and 136.87

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Solution

The fourth proportional to 230.12, 317.53 and 136.87 is: 188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.12 : 317.53 = 136.87 : x
  2. Step 2: Convert to fraction form
    230.12/317.53 = 136.87/x
  3. Step 3: Cross multiply
    230.12x = 317.53 × 136.87
  4. Step 4: Simplify right side
    230.12x = 43,459.20
  5. Step 5: Solve for x
    x = 43,459.20/230.12
  6. Step 6: Final answer
    x = 188.86

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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.