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Finding the Fourth Proportional to 175.58, 264.57 and 145.82

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Solution

The fourth proportional to 175.58, 264.57 and 145.82 is: 219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.58 : 264.57 = 145.82 : x
  2. Step 2: Convert to fraction form
    175.58/264.57 = 145.82/x
  3. Step 3: Cross multiply
    175.58x = 264.57 × 145.82
  4. Step 4: Simplify right side
    175.58x = 38,577.88
  5. Step 5: Solve for x
    x = 38,577.88/175.58
  6. Step 6: Final answer
    x = 219.71

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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.