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Finding the Fourth Proportional to 378.40, 502.12 and 378.40

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Solution

The fourth proportional to 378.40, 502.12 and 378.40 is: 502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.40 : 502.12 = 378.40 : x
  2. Step 2: Convert to fraction form
    378.40/502.12 = 378.40/x
  3. Step 3: Cross multiply
    378.40x = 502.12 × 378.40
  4. Step 4: Simplify right side
    378.40x = 190,002.21
  5. Step 5: Solve for x
    x = 190,002.21/378.40
  6. Step 6: Final answer
    x = 502.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.