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Finding the Fourth Proportional to 421.68, 580.76 and 363.44

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Solution

The fourth proportional to 421.68, 580.76 and 363.44 is: 500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.68 : 580.76 = 363.44 : x
  2. Step 2: Convert to fraction form
    421.68/580.76 = 363.44/x
  3. Step 3: Cross multiply
    421.68x = 580.76 × 363.44
  4. Step 4: Simplify right side
    421.68x = 211,071.41
  5. Step 5: Solve for x
    x = 211,071.41/421.68
  6. Step 6: Final answer
    x = 500.55

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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.