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Finding the Fourth Proportional to 421.19, 580.92 and 296.88

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Solution

The fourth proportional to 421.19, 580.92 and 296.88 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.19 : 580.92 = 296.88 : x
  2. Step 2: Convert to fraction form
    421.19/580.92 = 296.88/x
  3. Step 3: Cross multiply
    421.19x = 580.92 × 296.88
  4. Step 4: Simplify right side
    421.19x = 172,463.53
  5. Step 5: Solve for x
    x = 172,463.53/421.19
  6. Step 6: Final answer
    x = 409.47

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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.