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Finding the Fourth Proportional to 174.24, 240 and 122.40

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Solution

The fourth proportional to 174.24, 240 and 122.40 is: 168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 240 = 122.40 : x
  2. Step 2: Convert to fraction form
    174.24/240 = 122.40/x
  3. Step 3: Cross multiply
    174.24x = 240 × 122.40
  4. Step 4: Simplify right side
    174.24x = 29,376
  5. Step 5: Solve for x
    x = 29,376/174.24
  6. Step 6: Final answer
    x = 168.60

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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.