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Finding the Fourth Proportional to 161.22, 240.54 and 153.50

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Solution

The fourth proportional to 161.22, 240.54 and 153.50 is: 229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.22 : 240.54 = 153.50 : x
  2. Step 2: Convert to fraction form
    161.22/240.54 = 153.50/x
  3. Step 3: Cross multiply
    161.22x = 240.54 × 153.50
  4. Step 4: Simplify right side
    161.22x = 36,921.11
  5. Step 5: Solve for x
    x = 36,921.11/161.22
  6. Step 6: Final answer
    x = 229.01

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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.