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Finding the Fourth Proportional to 356.70, 491.22 and 291.36

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Solution

The fourth proportional to 356.70, 491.22 and 291.36 is: 401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.70 : 491.22 = 291.36 : x
  2. Step 2: Convert to fraction form
    356.70/491.22 = 291.36/x
  3. Step 3: Cross multiply
    356.70x = 491.22 × 291.36
  4. Step 4: Simplify right side
    356.70x = 143,121.86
  5. Step 5: Solve for x
    x = 143,121.86/356.70
  6. Step 6: Final answer
    x = 401.24

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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.