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Finding the Fourth Proportional to 324.18, 482.78 and 310.14

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Solution

The fourth proportional to 324.18, 482.78 and 310.14 is: 461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.18 : 482.78 = 310.14 : x
  2. Step 2: Convert to fraction form
    324.18/482.78 = 310.14/x
  3. Step 3: Cross multiply
    324.18x = 482.78 × 310.14
  4. Step 4: Simplify right side
    324.18x = 149,730.16
  5. Step 5: Solve for x
    x = 149,730.16/324.18
  6. Step 6: Final answer
    x = 461.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.