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Finding the Fourth Proportional to 400.87, 601.76 and 378.08

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Solution

The fourth proportional to 400.87, 601.76 and 378.08 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.87 : 601.76 = 378.08 : x
  2. Step 2: Convert to fraction form
    400.87/601.76 = 378.08/x
  3. Step 3: Cross multiply
    400.87x = 601.76 × 378.08
  4. Step 4: Simplify right side
    400.87x = 227,513.03
  5. Step 5: Solve for x
    x = 227,513.03/400.87
  6. Step 6: Final answer
    x = 567.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.