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Finding the Fourth Proportional to 420.99, 580.48 and 296.61

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Solution

The fourth proportional to 420.99, 580.48 and 296.61 is: 408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.99 : 580.48 = 296.61 : x
  2. Step 2: Convert to fraction form
    420.99/580.48 = 296.61/x
  3. Step 3: Cross multiply
    420.99x = 580.48 × 296.61
  4. Step 4: Simplify right side
    420.99x = 172,176.17
  5. Step 5: Solve for x
    x = 172,176.17/420.99
  6. Step 6: Final answer
    x = 408.98

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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.