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Finding the Fourth Proportional to 155.55, 233.43 and 78.57

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Solution

The fourth proportional to 155.55, 233.43 and 78.57 is: 117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.55 : 233.43 = 78.57 : x
  2. Step 2: Convert to fraction form
    155.55/233.43 = 78.57/x
  3. Step 3: Cross multiply
    155.55x = 233.43 × 78.57
  4. Step 4: Simplify right side
    155.55x = 18,340.60
  5. Step 5: Solve for x
    x = 18,340.60/155.55
  6. Step 6: Final answer
    x = 117.91

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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.