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Finding the Fourth Proportional to 155.81, 233.60 and 78.70

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Solution

The fourth proportional to 155.81, 233.60 and 78.70 is: 117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.81 : 233.60 = 78.70 : x
  2. Step 2: Convert to fraction form
    155.81/233.60 = 78.70/x
  3. Step 3: Cross multiply
    155.81x = 233.60 × 78.70
  4. Step 4: Simplify right side
    155.81x = 18,382.76
  5. Step 5: Solve for x
    x = 18,382.76/155.81
  6. Step 6: Final answer
    x = 117.98

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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.