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Finding the Fourth Proportional to 157.95, 217.55 and 137.23

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Solution

The fourth proportional to 157.95, 217.55 and 137.23 is: 189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.95 : 217.55 = 137.23 : x
  2. Step 2: Convert to fraction form
    157.95/217.55 = 137.23/x
  3. Step 3: Cross multiply
    157.95x = 217.55 × 137.23
  4. Step 4: Simplify right side
    157.95x = 29,854.19
  5. Step 5: Solve for x
    x = 29,854.19/157.95
  6. Step 6: Final answer
    x = 189.01

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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.