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Finding the Fourth Proportional to 158.25, 218.94 and 154.78

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Solution

The fourth proportional to 158.25, 218.94 and 154.78 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.25 : 218.94 = 154.78 : x
  2. Step 2: Convert to fraction form
    158.25/218.94 = 154.78/x
  3. Step 3: Cross multiply
    158.25x = 218.94 × 154.78
  4. Step 4: Simplify right side
    158.25x = 33,887.53
  5. Step 5: Solve for x
    x = 33,887.53/158.25
  6. Step 6: Final answer
    x = 214.14

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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.