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Finding the Fourth Proportional to 438.74, 661.12 and 363.40

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Solution

The fourth proportional to 438.74, 661.12 and 363.40 is: 547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.74 : 661.12 = 363.40 : x
  2. Step 2: Convert to fraction form
    438.74/661.12 = 363.40/x
  3. Step 3: Cross multiply
    438.74x = 661.12 × 363.40
  4. Step 4: Simplify right side
    438.74x = 240,251.01
  5. Step 5: Solve for x
    x = 240,251.01/438.74
  6. Step 6: Final answer
    x = 547.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.