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Finding the Fourth Proportional to 155.12, 232.62 and 78.04

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Solution

The fourth proportional to 155.12, 232.62 and 78.04 is: 117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.12 : 232.62 = 78.04 : x
  2. Step 2: Convert to fraction form
    155.12/232.62 = 78.04/x
  3. Step 3: Cross multiply
    155.12x = 232.62 × 78.04
  4. Step 4: Simplify right side
    155.12x = 18,153.66
  5. Step 5: Solve for x
    x = 18,153.66/155.12
  6. Step 6: Final answer
    x = 117.03

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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.