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Finding the Fourth Proportional to 230.08, 342.68 and 225.76

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Solution

The fourth proportional to 230.08, 342.68 and 225.76 is: 336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.08 : 342.68 = 225.76 : x
  2. Step 2: Convert to fraction form
    230.08/342.68 = 225.76/x
  3. Step 3: Cross multiply
    230.08x = 342.68 × 225.76
  4. Step 4: Simplify right side
    230.08x = 77,363.44
  5. Step 5: Solve for x
    x = 77,363.44/230.08
  6. Step 6: Final answer
    x = 336.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.