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Finding the Fourth Proportional to 400.53, 600.78 and 153.63

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Solution

The fourth proportional to 400.53, 600.78 and 153.63 is: 230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.53 : 600.78 = 153.63 : x
  2. Step 2: Convert to fraction form
    400.53/600.78 = 153.63/x
  3. Step 3: Cross multiply
    400.53x = 600.78 × 153.63
  4. Step 4: Simplify right side
    400.53x = 92,297.83
  5. Step 5: Solve for x
    x = 92,297.83/400.53
  6. Step 6: Final answer
    x = 230.44

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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.