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Finding the Fourth Proportional to 157.38, 215.70 and 157.11

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Solution

The fourth proportional to 157.38, 215.70 and 157.11 is: 215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 215.70 = 157.11 : x
  2. Step 2: Convert to fraction form
    157.38/215.70 = 157.11/x
  3. Step 3: Cross multiply
    157.38x = 215.70 × 157.11
  4. Step 4: Simplify right side
    157.38x = 33,887.23
  5. Step 5: Solve for x
    x = 33,887.23/157.38
  6. Step 6: Final answer
    x = 215.33

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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.