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Finding the Fourth Proportional to 174, 240.12 and 100.32

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Solution

The fourth proportional to 174, 240.12 and 100.32 is: 138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 240.12 = 100.32 : x
  2. Step 2: Convert to fraction form
    174/240.12 = 100.32/x
  3. Step 3: Cross multiply
    174x = 240.12 × 100.32
  4. Step 4: Simplify right side
    174x = 24,088.84
  5. Step 5: Solve for x
    x = 24,088.84/174
  6. Step 6: Final answer
    x = 138.44

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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.