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Finding the Fourth Proportional to 613.32, 919.96 and 151.10

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Solution

The fourth proportional to 613.32, 919.96 and 151.10 is: 226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.32 : 919.96 = 151.10 : x
  2. Step 2: Convert to fraction form
    613.32/919.96 = 151.10/x
  3. Step 3: Cross multiply
    613.32x = 919.96 × 151.10
  4. Step 4: Simplify right side
    613.32x = 139,005.96
  5. Step 5: Solve for x
    x = 139,005.96/613.32
  6. Step 6: Final answer
    x = 226.65

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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.