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Finding the Fourth Proportional to 109.00, 162.57 and 102.11

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Solution

The fourth proportional to 109.00, 162.57 and 102.11 is: 152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.00 : 162.57 = 102.11 : x
  2. Step 2: Convert to fraction form
    109.00/162.57 = 102.11/x
  3. Step 3: Cross multiply
    109.00x = 162.57 × 102.11
  4. Step 4: Simplify right side
    109.00x = 16,600.05
  5. Step 5: Solve for x
    x = 16,600.05/109.00
  6. Step 6: Final answer
    x = 152.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.