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Finding the Fourth Proportional to 400.27, 554.95 and 378.40

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Solution

The fourth proportional to 400.27, 554.95 and 378.40 is: 524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.27 : 554.95 = 378.40 : x
  2. Step 2: Convert to fraction form
    400.27/554.95 = 378.40/x
  3. Step 3: Cross multiply
    400.27x = 554.95 × 378.40
  4. Step 4: Simplify right side
    400.27x = 209,993.08
  5. Step 5: Solve for x
    x = 209,993.08/400.27
  6. Step 6: Final answer
    x = 524.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.