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Finding the Fourth Proportional to 356.78, 491.91 and 291.14

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Solution

The fourth proportional to 356.78, 491.91 and 291.14 is: 401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.78 : 491.91 = 291.14 : x
  2. Step 2: Convert to fraction form
    356.78/491.91 = 291.14/x
  3. Step 3: Cross multiply
    356.78x = 491.91 × 291.14
  4. Step 4: Simplify right side
    356.78x = 143,214.68
  5. Step 5: Solve for x
    x = 143,214.68/356.78
  6. Step 6: Final answer
    x = 401.41

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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.