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Finding the Fourth Proportional to 158.01, 218.01 and 98.91

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Solution

The fourth proportional to 158.01, 218.01 and 98.91 is: 136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.01 : 218.01 = 98.91 : x
  2. Step 2: Convert to fraction form
    158.01/218.01 = 98.91/x
  3. Step 3: Cross multiply
    158.01x = 218.01 × 98.91
  4. Step 4: Simplify right side
    158.01x = 21,563.37
  5. Step 5: Solve for x
    x = 21,563.37/158.01
  6. Step 6: Final answer
    x = 136.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.