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Finding the Fourth Proportional to 154.80, 211.86 and 153.18

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Solution

The fourth proportional to 154.80, 211.86 and 153.18 is: 209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 211.86 = 153.18 : x
  2. Step 2: Convert to fraction form
    154.80/211.86 = 153.18/x
  3. Step 3: Cross multiply
    154.80x = 211.86 × 153.18
  4. Step 4: Simplify right side
    154.80x = 32,452.71
  5. Step 5: Solve for x
    x = 32,452.71/154.80
  6. Step 6: Final answer
    x = 209.64

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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.