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Finding the Fourth Proportional to 407.13, 561.72 and 239.04

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Solution

The fourth proportional to 407.13, 561.72 and 239.04 is: 329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.13 : 561.72 = 239.04 : x
  2. Step 2: Convert to fraction form
    407.13/561.72 = 239.04/x
  3. Step 3: Cross multiply
    407.13x = 561.72 × 239.04
  4. Step 4: Simplify right side
    407.13x = 134,273.55
  5. Step 5: Solve for x
    x = 134,273.55/407.13
  6. Step 6: Final answer
    x = 329.81

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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.