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Finding the Fourth Proportional to 356.47, 491.87 and 201.19

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Solution

The fourth proportional to 356.47, 491.87 and 201.19 is: 277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.47 : 491.87 = 201.19 : x
  2. Step 2: Convert to fraction form
    356.47/491.87 = 201.19/x
  3. Step 3: Cross multiply
    356.47x = 491.87 × 201.19
  4. Step 4: Simplify right side
    356.47x = 98,959.33
  5. Step 5: Solve for x
    x = 98,959.33/356.47
  6. Step 6: Final answer
    x = 277.61

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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.