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Finding the Fourth Proportional to 162.88, 242.96 and 151.36

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Solution

The fourth proportional to 162.88, 242.96 and 151.36 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.88 : 242.96 = 151.36 : x
  2. Step 2: Convert to fraction form
    162.88/242.96 = 151.36/x
  3. Step 3: Cross multiply
    162.88x = 242.96 × 151.36
  4. Step 4: Simplify right side
    162.88x = 36,774.43
  5. Step 5: Solve for x
    x = 36,774.43/162.88
  6. Step 6: Final answer
    x = 225.78

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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.