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Finding the Fourth Proportional to 363.84, 502.08 and 270.40

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Solution

The fourth proportional to 363.84, 502.08 and 270.40 is: 373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 502.08 = 270.40 : x
  2. Step 2: Convert to fraction form
    363.84/502.08 = 270.40/x
  3. Step 3: Cross multiply
    363.84x = 502.08 × 270.40
  4. Step 4: Simplify right side
    363.84x = 135,762.43
  5. Step 5: Solve for x
    x = 135,762.43/363.84
  6. Step 6: Final answer
    x = 373.14

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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.