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Finding the Fourth Proportional to 153.45, 212.04 and 138.69

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Solution

The fourth proportional to 153.45, 212.04 and 138.69 is: 191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.45 : 212.04 = 138.69 : x
  2. Step 2: Convert to fraction form
    153.45/212.04 = 138.69/x
  3. Step 3: Cross multiply
    153.45x = 212.04 × 138.69
  4. Step 4: Simplify right side
    153.45x = 29,407.83
  5. Step 5: Solve for x
    x = 29,407.83/153.45
  6. Step 6: Final answer
    x = 191.64

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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.