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Finding the Fourth Proportional to 161.21, 240.24 and 154.32

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Solution

The fourth proportional to 161.21, 240.24 and 154.32 is: 229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.21 : 240.24 = 154.32 : x
  2. Step 2: Convert to fraction form
    161.21/240.24 = 154.32/x
  3. Step 3: Cross multiply
    161.21x = 240.24 × 154.32
  4. Step 4: Simplify right side
    161.21x = 37,073.84
  5. Step 5: Solve for x
    x = 37,073.84/161.21
  6. Step 6: Final answer
    x = 229.98

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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.