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Finding the Fourth Proportional to 166.84, 248.60 and 158.08

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Solution

The fourth proportional to 166.84, 248.60 and 158.08 is: 235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.84 : 248.60 = 158.08 : x
  2. Step 2: Convert to fraction form
    166.84/248.60 = 158.08/x
  3. Step 3: Cross multiply
    166.84x = 248.60 × 158.08
  4. Step 4: Simplify right side
    166.84x = 39,298.69
  5. Step 5: Solve for x
    x = 39,298.69/166.84
  6. Step 6: Final answer
    x = 235.55

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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.