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Finding the Fourth Proportional to 230.51, 343.76 and 228.49

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Solution

The fourth proportional to 230.51, 343.76 and 228.49 is: 340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.51 : 343.76 = 228.49 : x
  2. Step 2: Convert to fraction form
    230.51/343.76 = 228.49/x
  3. Step 3: Cross multiply
    230.51x = 343.76 × 228.49
  4. Step 4: Simplify right side
    230.51x = 78,545.01
  5. Step 5: Solve for x
    x = 78,545.01/230.51
  6. Step 6: Final answer
    x = 340.74

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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.