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Finding the Fourth Proportional to 232.68, 322.50 and 228.36

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Solution

The fourth proportional to 232.68, 322.50 and 228.36 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.68 : 322.50 = 228.36 : x
  2. Step 2: Convert to fraction form
    232.68/322.50 = 228.36/x
  3. Step 3: Cross multiply
    232.68x = 322.50 × 228.36
  4. Step 4: Simplify right side
    232.68x = 73,646.10
  5. Step 5: Solve for x
    x = 73,646.10/232.68
  6. Step 6: Final answer
    x = 316.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.