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Finding the Fourth Proportional to 157.58, 216.14 and 154.94

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Solution

The fourth proportional to 157.58, 216.14 and 154.94 is: 212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.58 : 216.14 = 154.94 : x
  2. Step 2: Convert to fraction form
    157.58/216.14 = 154.94/x
  3. Step 3: Cross multiply
    157.58x = 216.14 × 154.94
  4. Step 4: Simplify right side
    157.58x = 33,488.73
  5. Step 5: Solve for x
    x = 33,488.73/157.58
  6. Step 6: Final answer
    x = 212.52

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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.