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Finding the Fourth Proportional to 153.42, 211.78 and 138.60

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Solution

The fourth proportional to 153.42, 211.78 and 138.60 is: 191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.42 : 211.78 = 138.60 : x
  2. Step 2: Convert to fraction form
    153.42/211.78 = 138.60/x
  3. Step 3: Cross multiply
    153.42x = 211.78 × 138.60
  4. Step 4: Simplify right side
    153.42x = 29,352.71
  5. Step 5: Solve for x
    x = 29,352.71/153.42
  6. Step 6: Final answer
    x = 191.32

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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.