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Finding the Fourth Proportional to 157.84, 218.04 and 138.16

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Solution

The fourth proportional to 157.84, 218.04 and 138.16 is: 190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 218.04 = 138.16 : x
  2. Step 2: Convert to fraction form
    157.84/218.04 = 138.16/x
  3. Step 3: Cross multiply
    157.84x = 218.04 × 138.16
  4. Step 4: Simplify right side
    157.84x = 30,124.41
  5. Step 5: Solve for x
    x = 30,124.41/157.84
  6. Step 6: Final answer
    x = 190.85

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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.