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Finding the Fourth Proportional to 157.93, 218.14 and 121.53

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Solution

The fourth proportional to 157.93, 218.14 and 121.53 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.93 : 218.14 = 121.53 : x
  2. Step 2: Convert to fraction form
    157.93/218.14 = 121.53/x
  3. Step 3: Cross multiply
    157.93x = 218.14 × 121.53
  4. Step 4: Simplify right side
    157.93x = 26,508.86
  5. Step 5: Solve for x
    x = 26,508.86/157.93
  6. Step 6: Final answer
    x = 167.86

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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.