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Finding the Fourth Proportional to 20, 27.57 and 15.14

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Solution

The fourth proportional to 20, 27.57 and 15.14 is: 20.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 27.57 = 15.14 : x
  2. Step 2: Convert to fraction form
    20/27.57 = 15.14/x
  3. Step 3: Cross multiply
    20x = 27.57 × 15.14
  4. Step 4: Simplify right side
    20x = 417.41
  5. Step 5: Solve for x
    x = 417.41/20
  6. Step 6: Final answer
    x = 20.87

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1.5x scale

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.