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Finding the Fourth Proportional to 155.76, 232.50 and 144.34

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Solution

The fourth proportional to 155.76, 232.50 and 144.34 is: 215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.76 : 232.50 = 144.34 : x
  2. Step 2: Convert to fraction form
    155.76/232.50 = 144.34/x
  3. Step 3: Cross multiply
    155.76x = 232.50 × 144.34
  4. Step 4: Simplify right side
    155.76x = 33,559.05
  5. Step 5: Solve for x
    x = 33,559.05/155.76
  6. Step 6: Final answer
    x = 215.45

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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.