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Finding the Fourth Proportional to 155.24, 231.57 and 152.00

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Solution

The fourth proportional to 155.24, 231.57 and 152.00 is: 226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.24 : 231.57 = 152.00 : x
  2. Step 2: Convert to fraction form
    155.24/231.57 = 152.00/x
  3. Step 3: Cross multiply
    155.24x = 231.57 × 152.00
  4. Step 4: Simplify right side
    155.24x = 35,197.48
  5. Step 5: Solve for x
    x = 35,197.48/155.24
  6. Step 6: Final answer
    x = 226.74

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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.