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Finding the Fourth Proportional to 420.60, 580.24 and 265.24

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Solution

The fourth proportional to 420.60, 580.24 and 265.24 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.60 : 580.24 = 265.24 : x
  2. Step 2: Convert to fraction form
    420.60/580.24 = 265.24/x
  3. Step 3: Cross multiply
    420.60x = 580.24 × 265.24
  4. Step 4: Simplify right side
    420.60x = 153,902.86
  5. Step 5: Solve for x
    x = 153,902.86/420.60
  6. Step 6: Final answer
    x = 365.91

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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.