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Finding the Fourth Proportional to 161.09, 240.32 and 153.39

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Solution

The fourth proportional to 161.09, 240.32 and 153.39 is: 228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.09 : 240.32 = 153.39 : x
  2. Step 2: Convert to fraction form
    161.09/240.32 = 153.39/x
  3. Step 3: Cross multiply
    161.09x = 240.32 × 153.39
  4. Step 4: Simplify right side
    161.09x = 36,863.11
  5. Step 5: Solve for x
    x = 36,863.11/161.09
  6. Step 6: Final answer
    x = 228.84

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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.