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Finding the Fourth Proportional to 201.99, 279.15 and 152.85

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Solution

The fourth proportional to 201.99, 279.15 and 152.85 is: 211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.99 : 279.15 = 152.85 : x
  2. Step 2: Convert to fraction form
    201.99/279.15 = 152.85/x
  3. Step 3: Cross multiply
    201.99x = 279.15 × 152.85
  4. Step 4: Simplify right side
    201.99x = 42,668.08
  5. Step 5: Solve for x
    x = 42,668.08/201.99
  6. Step 6: Final answer
    x = 211.24

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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.