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Finding the Fourth Proportional to 170.82, 254.78 and 145.30

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Solution

The fourth proportional to 170.82, 254.78 and 145.30 is: 216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.82 : 254.78 = 145.30 : x
  2. Step 2: Convert to fraction form
    170.82/254.78 = 145.30/x
  3. Step 3: Cross multiply
    170.82x = 254.78 × 145.30
  4. Step 4: Simplify right side
    170.82x = 37,019.53
  5. Step 5: Solve for x
    x = 37,019.53/170.82
  6. Step 6: Final answer
    x = 216.72

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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.