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Finding the Fourth Proportional to 158.98, 218.06 and 139.54

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Solution

The fourth proportional to 158.98, 218.06 and 139.54 is: 191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.98 : 218.06 = 139.54 : x
  2. Step 2: Convert to fraction form
    158.98/218.06 = 139.54/x
  3. Step 3: Cross multiply
    158.98x = 218.06 × 139.54
  4. Step 4: Simplify right side
    158.98x = 30,428.09
  5. Step 5: Solve for x
    x = 30,428.09/158.98
  6. Step 6: Final answer
    x = 191.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.