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Finding the Fourth Proportional to 230.04, 315.96 and 215.76

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Solution

The fourth proportional to 230.04, 315.96 and 215.76 is: 296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.04 : 315.96 = 215.76 : x
  2. Step 2: Convert to fraction form
    230.04/315.96 = 215.76/x
  3. Step 3: Cross multiply
    230.04x = 315.96 × 215.76
  4. Step 4: Simplify right side
    230.04x = 68,171.53
  5. Step 5: Solve for x
    x = 68,171.53/230.04
  6. Step 6: Final answer
    x = 296.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.