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Finding the Fourth Proportional to 162.47, 242.15 and 162.22

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Solution

The fourth proportional to 162.47, 242.15 and 162.22 is: 241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.47 : 242.15 = 162.22 : x
  2. Step 2: Convert to fraction form
    162.47/242.15 = 162.22/x
  3. Step 3: Cross multiply
    162.47x = 242.15 × 162.22
  4. Step 4: Simplify right side
    162.47x = 39,280.61
  5. Step 5: Solve for x
    x = 39,280.61/162.47
  6. Step 6: Final answer
    x = 241.77

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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.