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Finding the Fourth Proportional to 155.81, 233.61 and 78.71

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Solution

The fourth proportional to 155.81, 233.61 and 78.71 is: 118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.81 : 233.61 = 78.71 : x
  2. Step 2: Convert to fraction form
    155.81/233.61 = 78.71/x
  3. Step 3: Cross multiply
    155.81x = 233.61 × 78.71
  4. Step 4: Simplify right side
    155.81x = 18,387.44
  5. Step 5: Solve for x
    x = 18,387.44/155.81
  6. Step 6: Final answer
    x = 118.01

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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.