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Finding the Fourth Proportional to 162.24, 242.94 and 139.28

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Solution

The fourth proportional to 162.24, 242.94 and 139.28 is: 208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.24 : 242.94 = 139.28 : x
  2. Step 2: Convert to fraction form
    162.24/242.94 = 139.28/x
  3. Step 3: Cross multiply
    162.24x = 242.94 × 139.28
  4. Step 4: Simplify right side
    162.24x = 33,836.68
  5. Step 5: Solve for x
    x = 33,836.68/162.24
  6. Step 6: Final answer
    x = 208.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.