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Finding the Fourth Proportional to 175.90, 264.15 and 115.30

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Solution

The fourth proportional to 175.90, 264.15 and 115.30 is: 173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.90 : 264.15 = 115.30 : x
  2. Step 2: Convert to fraction form
    175.90/264.15 = 115.30/x
  3. Step 3: Cross multiply
    175.90x = 264.15 × 115.30
  4. Step 4: Simplify right side
    175.90x = 30,456.50
  5. Step 5: Solve for x
    x = 30,456.50/175.90
  6. Step 6: Final answer
    x = 173.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.