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Finding the Fourth Proportional to 230.40, 318.54 and 202.68

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Solution

The fourth proportional to 230.40, 318.54 and 202.68 is: 280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.40 : 318.54 = 202.68 : x
  2. Step 2: Convert to fraction form
    230.40/318.54 = 202.68/x
  3. Step 3: Cross multiply
    230.40x = 318.54 × 202.68
  4. Step 4: Simplify right side
    230.40x = 64,561.69
  5. Step 5: Solve for x
    x = 64,561.69/230.40
  6. Step 6: Final answer
    x = 280.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.