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Finding the Fourth Proportional to 230.48, 342.90 and 228.72

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Solution

The fourth proportional to 230.48, 342.90 and 228.72 is: 340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.48 : 342.90 = 228.72 : x
  2. Step 2: Convert to fraction form
    230.48/342.90 = 228.72/x
  3. Step 3: Cross multiply
    230.48x = 342.90 × 228.72
  4. Step 4: Simplify right side
    230.48x = 78,428.09
  5. Step 5: Solve for x
    x = 78,428.09/230.48
  6. Step 6: Final answer
    x = 340.28

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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.