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Finding the Fourth Proportional to 162.66, 242.54 and 144.44

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Solution

The fourth proportional to 162.66, 242.54 and 144.44 is: 215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.66 : 242.54 = 144.44 : x
  2. Step 2: Convert to fraction form
    162.66/242.54 = 144.44/x
  3. Step 3: Cross multiply
    162.66x = 242.54 × 144.44
  4. Step 4: Simplify right side
    162.66x = 35,032.48
  5. Step 5: Solve for x
    x = 35,032.48/162.66
  6. Step 6: Final answer
    x = 215.37

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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.