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Finding the Fourth Proportional to 162.88, 242.94 and 137.36

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Solution

The fourth proportional to 162.88, 242.94 and 137.36 is: 204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.88 : 242.94 = 137.36 : x
  2. Step 2: Convert to fraction form
    162.88/242.94 = 137.36/x
  3. Step 3: Cross multiply
    162.88x = 242.94 × 137.36
  4. Step 4: Simplify right side
    162.88x = 33,370.24
  5. Step 5: Solve for x
    x = 33,370.24/162.88
  6. Step 6: Final answer
    x = 204.88

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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.