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Finding the Fourth Proportional to 175.32, 261.75 and 149.64

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Solution

The fourth proportional to 175.32, 261.75 and 149.64 is: 223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.32 : 261.75 = 149.64 : x
  2. Step 2: Convert to fraction form
    175.32/261.75 = 149.64/x
  3. Step 3: Cross multiply
    175.32x = 261.75 × 149.64
  4. Step 4: Simplify right side
    175.32x = 39,168.27
  5. Step 5: Solve for x
    x = 39,168.27/175.32
  6. Step 6: Final answer
    x = 223.41

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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.