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Finding the Fourth Proportional to 155.99, 232.87 and 144.74

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Solution

The fourth proportional to 155.99, 232.87 and 144.74 is: 216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.99 : 232.87 = 144.74 : x
  2. Step 2: Convert to fraction form
    155.99/232.87 = 144.74/x
  3. Step 3: Cross multiply
    155.99x = 232.87 × 144.74
  4. Step 4: Simplify right side
    155.99x = 33,705.60
  5. Step 5: Solve for x
    x = 33,705.60/155.99
  6. Step 6: Final answer
    x = 216.08

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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.