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Finding the Fourth Proportional to 113.50, 155.95 and 92.72

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Solution

The fourth proportional to 113.50, 155.95 and 92.72 is: 127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.50 : 155.95 = 92.72 : x
  2. Step 2: Convert to fraction form
    113.50/155.95 = 92.72/x
  3. Step 3: Cross multiply
    113.50x = 155.95 × 92.72
  4. Step 4: Simplify right side
    113.50x = 14,459.68
  5. Step 5: Solve for x
    x = 14,459.68/113.50
  6. Step 6: Final answer
    x = 127.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.