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Finding the Fourth Proportional to 154.40, 211.78 and 154.40

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Solution

The fourth proportional to 154.40, 211.78 and 154.40 is: 211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.40 : 211.78 = 154.40 : x
  2. Step 2: Convert to fraction form
    154.40/211.78 = 154.40/x
  3. Step 3: Cross multiply
    154.40x = 211.78 × 154.40
  4. Step 4: Simplify right side
    154.40x = 32,698.83
  5. Step 5: Solve for x
    x = 32,698.83/154.40
  6. Step 6: Final answer
    x = 211.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.