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Finding the Fourth Proportional to 324.55, 487.02 and 301.45

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Solution

The fourth proportional to 324.55, 487.02 and 301.45 is: 452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.55 : 487.02 = 301.45 : x
  2. Step 2: Convert to fraction form
    324.55/487.02 = 301.45/x
  3. Step 3: Cross multiply
    324.55x = 487.02 × 301.45
  4. Step 4: Simplify right side
    324.55x = 146,812.18
  5. Step 5: Solve for x
    x = 146,812.18/324.55
  6. Step 6: Final answer
    x = 452.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.