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Finding the Fourth Proportional to 421.72, 580.80 and 369.24

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Solution

The fourth proportional to 421.72, 580.80 and 369.24 is: 508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.72 : 580.80 = 369.24 : x
  2. Step 2: Convert to fraction form
    421.72/580.80 = 369.24/x
  3. Step 3: Cross multiply
    421.72x = 580.80 × 369.24
  4. Step 4: Simplify right side
    421.72x = 214,454.59
  5. Step 5: Solve for x
    x = 214,454.59/421.72
  6. Step 6: Final answer
    x = 508.52

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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.