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Finding the Fourth Proportional to 162.22, 242.48 and 155.20

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Solution

The fourth proportional to 162.22, 242.48 and 155.20 is: 231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.22 : 242.48 = 155.20 : x
  2. Step 2: Convert to fraction form
    162.22/242.48 = 155.20/x
  3. Step 3: Cross multiply
    162.22x = 242.48 × 155.20
  4. Step 4: Simplify right side
    162.22x = 37,632.90
  5. Step 5: Solve for x
    x = 37,632.90/162.22
  6. Step 6: Final answer
    x = 231.99

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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.