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Finding the Fourth Proportional to 420.61, 580 and 296.07

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Solution

The fourth proportional to 420.61, 580 and 296.07 is: 408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.61 : 580 = 296.07 : x
  2. Step 2: Convert to fraction form
    420.61/580 = 296.07/x
  3. Step 3: Cross multiply
    420.61x = 580 × 296.07
  4. Step 4: Simplify right side
    420.61x = 171,720.60
  5. Step 5: Solve for x
    x = 171,720.60/420.61
  6. Step 6: Final answer
    x = 408.27

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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.