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Finding the Fourth Proportional to 201.39, 278.55 and 152.79

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Solution

The fourth proportional to 201.39, 278.55 and 152.79 is: 211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.39 : 278.55 = 152.79 : x
  2. Step 2: Convert to fraction form
    201.39/278.55 = 152.79/x
  3. Step 3: Cross multiply
    201.39x = 278.55 × 152.79
  4. Step 4: Simplify right side
    201.39x = 42,559.65
  5. Step 5: Solve for x
    x = 42,559.65/201.39
  6. Step 6: Final answer
    x = 211.33

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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.