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Finding the Fourth Proportional to 400.07, 600.14 and 111.50

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Solution

The fourth proportional to 400.07, 600.14 and 111.50 is: 167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.07 : 600.14 = 111.50 : x
  2. Step 2: Convert to fraction form
    400.07/600.14 = 111.50/x
  3. Step 3: Cross multiply
    400.07x = 600.14 × 111.50
  4. Step 4: Simplify right side
    400.07x = 66,915.61
  5. Step 5: Solve for x
    x = 66,915.61/400.07
  6. Step 6: Final answer
    x = 167.26

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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.