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Finding the Fourth Proportional to 230.24, 317.72 and 209.59

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Solution

The fourth proportional to 230.24, 317.72 and 209.59 is: 289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 317.72 = 209.59 : x
  2. Step 2: Convert to fraction form
    230.24/317.72 = 209.59/x
  3. Step 3: Cross multiply
    230.24x = 317.72 × 209.59
  4. Step 4: Simplify right side
    230.24x = 66,590.66
  5. Step 5: Solve for x
    x = 66,590.66/230.24
  6. Step 6: Final answer
    x = 289.22

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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.