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Finding the Fourth Proportional to 397.90, 549.55 and 378.46

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Solution

The fourth proportional to 397.90, 549.55 and 378.46 is: 522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.90 : 549.55 = 378.46 : x
  2. Step 2: Convert to fraction form
    397.90/549.55 = 378.46/x
  3. Step 3: Cross multiply
    397.90x = 549.55 × 378.46
  4. Step 4: Simplify right side
    397.90x = 207,982.69
  5. Step 5: Solve for x
    x = 207,982.69/397.90
  6. Step 6: Final answer
    x = 522.70

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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.