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Finding the Fourth Proportional to 175.61, 264.72 and 173.18

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Solution

The fourth proportional to 175.61, 264.72 and 173.18 is: 261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.61 : 264.72 = 173.18 : x
  2. Step 2: Convert to fraction form
    175.61/264.72 = 173.18/x
  3. Step 3: Cross multiply
    175.61x = 264.72 × 173.18
  4. Step 4: Simplify right side
    175.61x = 45,842.89
  5. Step 5: Solve for x
    x = 45,842.89/175.61
  6. Step 6: Final answer
    x = 261.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.