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Finding the Fourth Proportional to 157.85, 218.68 and 154.07

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Solution

The fourth proportional to 157.85, 218.68 and 154.07 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.85 : 218.68 = 154.07 : x
  2. Step 2: Convert to fraction form
    157.85/218.68 = 154.07/x
  3. Step 3: Cross multiply
    157.85x = 218.68 × 154.07
  4. Step 4: Simplify right side
    157.85x = 33,692.77
  5. Step 5: Solve for x
    x = 33,692.77/157.85
  6. Step 6: Final answer
    x = 213.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.