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Finding the Fourth Proportional to 155.08, 231.06 and 152.85

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Solution

The fourth proportional to 155.08, 231.06 and 152.85 is: 227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.08 : 231.06 = 152.85 : x
  2. Step 2: Convert to fraction form
    155.08/231.06 = 152.85/x
  3. Step 3: Cross multiply
    155.08x = 231.06 × 152.85
  4. Step 4: Simplify right side
    155.08x = 35,318.53
  5. Step 5: Solve for x
    x = 35,318.53/155.08
  6. Step 6: Final answer
    x = 227.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.