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Finding the Fourth Proportional to 417.42, 575.98 and 230.92

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Solution

The fourth proportional to 417.42, 575.98 and 230.92 is: 318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 575.98 = 230.92 : x
  2. Step 2: Convert to fraction form
    417.42/575.98 = 230.92/x
  3. Step 3: Cross multiply
    417.42x = 575.98 × 230.92
  4. Step 4: Simplify right side
    417.42x = 133,005.55
  5. Step 5: Solve for x
    x = 133,005.55/417.42
  6. Step 6: Final answer
    x = 318.64

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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.