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Finding the Fourth Proportional to 173.48, 239.65 and 160.52

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Solution

The fourth proportional to 173.48, 239.65 and 160.52 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.48 : 239.65 = 160.52 : x
  2. Step 2: Convert to fraction form
    173.48/239.65 = 160.52/x
  3. Step 3: Cross multiply
    173.48x = 239.65 × 160.52
  4. Step 4: Simplify right side
    173.48x = 38,467.02
  5. Step 5: Solve for x
    x = 38,467.02/173.48
  6. Step 6: Final answer
    x = 221.74

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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.