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Finding the Fourth Proportional to 161.78, 242.51 and 64.26

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Solution

The fourth proportional to 161.78, 242.51 and 64.26 is: 96.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 242.51 = 64.26 : x
  2. Step 2: Convert to fraction form
    161.78/242.51 = 64.26/x
  3. Step 3: Cross multiply
    161.78x = 242.51 × 64.26
  4. Step 4: Simplify right side
    161.78x = 15,583.37
  5. Step 5: Solve for x
    x = 15,583.37/161.78
  6. Step 6: Final answer
    x = 96.33

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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.