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Finding the Fourth Proportional to 173.34, 237.80 and 162.86

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Solution

The fourth proportional to 173.34, 237.80 and 162.86 is: 223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.34 : 237.80 = 162.86 : x
  2. Step 2: Convert to fraction form
    173.34/237.80 = 162.86/x
  3. Step 3: Cross multiply
    173.34x = 237.80 × 162.86
  4. Step 4: Simplify right side
    173.34x = 38,726.10
  5. Step 5: Solve for x
    x = 38,726.10/173.34
  6. Step 6: Final answer
    x = 223.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.