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Finding the Fourth Proportional to 400.30, 554.94 and 378.40

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Solution

The fourth proportional to 400.30, 554.94 and 378.40 is: 524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.30 : 554.94 = 378.40 : x
  2. Step 2: Convert to fraction form
    400.30/554.94 = 378.40/x
  3. Step 3: Cross multiply
    400.30x = 554.94 × 378.40
  4. Step 4: Simplify right side
    400.30x = 209,987.40
  5. Step 5: Solve for x
    x = 209,987.40/400.30
  6. Step 6: Final answer
    x = 524.58

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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.