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Finding the Fourth Proportional to 421.62, 581.76 and 363.30

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Solution

The fourth proportional to 421.62, 581.76 and 363.30 is: 501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.62 : 581.76 = 363.30 : x
  2. Step 2: Convert to fraction form
    421.62/581.76 = 363.30/x
  3. Step 3: Cross multiply
    421.62x = 581.76 × 363.30
  4. Step 4: Simplify right side
    421.62x = 211,353.41
  5. Step 5: Solve for x
    x = 211,353.41/421.62
  6. Step 6: Final answer
    x = 501.29

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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.