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Finding the Fourth Proportional to 407.68, 561.36 and 324.52

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Solution

The fourth proportional to 407.68, 561.36 and 324.52 is: 446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 561.36 = 324.52 : x
  2. Step 2: Convert to fraction form
    407.68/561.36 = 324.52/x
  3. Step 3: Cross multiply
    407.68x = 561.36 × 324.52
  4. Step 4: Simplify right side
    407.68x = 182,172.55
  5. Step 5: Solve for x
    x = 182,172.55/407.68
  6. Step 6: Final answer
    x = 446.85

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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.