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Finding the Fourth Proportional to 417.40, 576 and 230.86

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Solution

The fourth proportional to 417.40, 576 and 230.86 is: 318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.40 : 576 = 230.86 : x
  2. Step 2: Convert to fraction form
    417.40/576 = 230.86/x
  3. Step 3: Cross multiply
    417.40x = 576 × 230.86
  4. Step 4: Simplify right side
    417.40x = 132,975.36
  5. Step 5: Solve for x
    x = 132,975.36/417.40
  6. Step 6: Final answer
    x = 318.58

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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.