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Finding the Fourth Proportional to 156.94, 235.50 and 75.80

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Solution

The fourth proportional to 156.94, 235.50 and 75.80 is: 113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.94 : 235.50 = 75.80 : x
  2. Step 2: Convert to fraction form
    156.94/235.50 = 75.80/x
  3. Step 3: Cross multiply
    156.94x = 235.50 × 75.80
  4. Step 4: Simplify right side
    156.94x = 17,850.90
  5. Step 5: Solve for x
    x = 17,850.90/156.94
  6. Step 6: Final answer
    x = 113.74

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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.