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Finding the Fourth Proportional to 175.46, 264.38 and 145.69

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Solution

The fourth proportional to 175.46, 264.38 and 145.69 is: 219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.46 : 264.38 = 145.69 : x
  2. Step 2: Convert to fraction form
    175.46/264.38 = 145.69/x
  3. Step 3: Cross multiply
    175.46x = 264.38 × 145.69
  4. Step 4: Simplify right side
    175.46x = 38,517.40
  5. Step 5: Solve for x
    x = 38,517.40/175.46
  6. Step 6: Final answer
    x = 219.52

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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.