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Finding the Fourth Proportional to 173.59, 261.68 and 162.13

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Solution

The fourth proportional to 173.59, 261.68 and 162.13 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.59 : 261.68 = 162.13 : x
  2. Step 2: Convert to fraction form
    173.59/261.68 = 162.13/x
  3. Step 3: Cross multiply
    173.59x = 261.68 × 162.13
  4. Step 4: Simplify right side
    173.59x = 42,426.12
  5. Step 5: Solve for x
    x = 42,426.12/173.59
  6. Step 6: Final answer
    x = 244.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.