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Finding the Fourth Proportional to 170.84, 254.64 and 165.22

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Solution

The fourth proportional to 170.84, 254.64 and 165.22 is: 246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.84 : 254.64 = 165.22 : x
  2. Step 2: Convert to fraction form
    170.84/254.64 = 165.22/x
  3. Step 3: Cross multiply
    170.84x = 254.64 × 165.22
  4. Step 4: Simplify right side
    170.84x = 42,070.40
  5. Step 5: Solve for x
    x = 42,070.40/170.84
  6. Step 6: Final answer
    x = 246.26

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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.