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Finding the Fourth Proportional to 201.18, 277.64 and 151.98

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Solution

The fourth proportional to 201.18, 277.64 and 151.98 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.18 : 277.64 = 151.98 : x
  2. Step 2: Convert to fraction form
    201.18/277.64 = 151.98/x
  3. Step 3: Cross multiply
    201.18x = 277.64 × 151.98
  4. Step 4: Simplify right side
    201.18x = 42,195.73
  5. Step 5: Solve for x
    x = 42,195.73/201.18
  6. Step 6: Final answer
    x = 209.74

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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.