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Finding the Fourth Proportional to 173.83, 240 and 111.82

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Solution

The fourth proportional to 173.83, 240 and 111.82 is: 154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.83 : 240 = 111.82 : x
  2. Step 2: Convert to fraction form
    173.83/240 = 111.82/x
  3. Step 3: Cross multiply
    173.83x = 240 × 111.82
  4. Step 4: Simplify right side
    173.83x = 26,836.80
  5. Step 5: Solve for x
    x = 26,836.80/173.83
  6. Step 6: Final answer
    x = 154.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.