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Finding the Fourth Proportional to 324.29, 484.13 and 312.90

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Solution

The fourth proportional to 324.29, 484.13 and 312.90 is: 467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.29 : 484.13 = 312.90 : x
  2. Step 2: Convert to fraction form
    324.29/484.13 = 312.90/x
  3. Step 3: Cross multiply
    324.29x = 484.13 × 312.90
  4. Step 4: Simplify right side
    324.29x = 151,483.85
  5. Step 5: Solve for x
    x = 151,483.85/324.29
  6. Step 6: Final answer
    x = 467.12

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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.