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Finding the Fourth Proportional to 375.43, 518.40 and 278.23

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Solution

The fourth proportional to 375.43, 518.40 and 278.23 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.43 : 518.40 = 278.23 : x
  2. Step 2: Convert to fraction form
    375.43/518.40 = 278.23/x
  3. Step 3: Cross multiply
    375.43x = 518.40 × 278.23
  4. Step 4: Simplify right side
    375.43x = 144,234.43
  5. Step 5: Solve for x
    x = 144,234.43/375.43
  6. Step 6: Final answer
    x = 384.18

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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.