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Finding the Fourth Proportional to 157.54, 216.14 and 153.94

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Solution

The fourth proportional to 157.54, 216.14 and 153.94 is: 211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.54 : 216.14 = 153.94 : x
  2. Step 2: Convert to fraction form
    157.54/216.14 = 153.94/x
  3. Step 3: Cross multiply
    157.54x = 216.14 × 153.94
  4. Step 4: Simplify right side
    157.54x = 33,272.59
  5. Step 5: Solve for x
    x = 33,272.59/157.54
  6. Step 6: Final answer
    x = 211.20

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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.