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Finding the Fourth Proportional to 162.24, 242.09 and 143.97

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Solution

The fourth proportional to 162.24, 242.09 and 143.97 is: 214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.24 : 242.09 = 143.97 : x
  2. Step 2: Convert to fraction form
    162.24/242.09 = 143.97/x
  3. Step 3: Cross multiply
    162.24x = 242.09 × 143.97
  4. Step 4: Simplify right side
    162.24x = 34,852.98
  5. Step 5: Solve for x
    x = 34,852.98/162.24
  6. Step 6: Final answer
    x = 214.82

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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.