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Finding the Fourth Proportional to 173.86, 239.64 and 159.74

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Solution

The fourth proportional to 173.86, 239.64 and 159.74 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.86 : 239.64 = 159.74 : x
  2. Step 2: Convert to fraction form
    173.86/239.64 = 159.74/x
  3. Step 3: Cross multiply
    173.86x = 239.64 × 159.74
  4. Step 4: Simplify right side
    173.86x = 38,280.09
  5. Step 5: Solve for x
    x = 38,280.09/173.86
  6. Step 6: Final answer
    x = 220.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.