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Finding the Fourth Proportional to 230.31, 317.12 and 207.09

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Solution

The fourth proportional to 230.31, 317.12 and 207.09 is: 285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.31 : 317.12 = 207.09 : x
  2. Step 2: Convert to fraction form
    230.31/317.12 = 207.09/x
  3. Step 3: Cross multiply
    230.31x = 317.12 × 207.09
  4. Step 4: Simplify right side
    230.31x = 65,671.35
  5. Step 5: Solve for x
    x = 65,671.35/230.31
  6. Step 6: Final answer
    x = 285.14

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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.