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Finding the Fourth Proportional to 423.38, 584.61 and 312.98

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Solution

The fourth proportional to 423.38, 584.61 and 312.98 is: 432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.38 : 584.61 = 312.98 : x
  2. Step 2: Convert to fraction form
    423.38/584.61 = 312.98/x
  3. Step 3: Cross multiply
    423.38x = 584.61 × 312.98
  4. Step 4: Simplify right side
    423.38x = 182,971.24
  5. Step 5: Solve for x
    x = 182,971.24/423.38
  6. Step 6: Final answer
    x = 432.17

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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.