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Finding the Fourth Proportional to 423.39, 584.18 and 312.66

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Solution

The fourth proportional to 423.39, 584.18 and 312.66 is: 431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.39 : 584.18 = 312.66 : x
  2. Step 2: Convert to fraction form
    423.39/584.18 = 312.66/x
  3. Step 3: Cross multiply
    423.39x = 584.18 × 312.66
  4. Step 4: Simplify right side
    423.39x = 182,649.33
  5. Step 5: Solve for x
    x = 182,649.33/423.39
  6. Step 6: Final answer
    x = 431.39

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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.