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Finding the Fourth Proportional to 109.02, 162.18 and 106.22

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Solution

The fourth proportional to 109.02, 162.18 and 106.22 is: 158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.02 : 162.18 = 106.22 : x
  2. Step 2: Convert to fraction form
    109.02/162.18 = 106.22/x
  3. Step 3: Cross multiply
    109.02x = 162.18 × 106.22
  4. Step 4: Simplify right side
    109.02x = 17,226.76
  5. Step 5: Solve for x
    x = 17,226.76/109.02
  6. Step 6: Final answer
    x = 158.01

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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.