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Finding the Fourth Proportional to 174.40, 260.61 and 153.59

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Solution

The fourth proportional to 174.40, 260.61 and 153.59 is: 229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.40 : 260.61 = 153.59 : x
  2. Step 2: Convert to fraction form
    174.40/260.61 = 153.59/x
  3. Step 3: Cross multiply
    174.40x = 260.61 × 153.59
  4. Step 4: Simplify right side
    174.40x = 40,026.32
  5. Step 5: Solve for x
    x = 40,026.32/174.40
  6. Step 6: Final answer
    x = 229.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.