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Finding the Fourth Proportional to 908.22, 1,361.66 and 291.57

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Solution

The fourth proportional to 908.22, 1,361.66 and 291.57 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.22 : 1,361.66 = 291.57 : x
  2. Step 2: Convert to fraction form
    908.22/1,361.66 = 291.57/x
  3. Step 3: Cross multiply
    908.22x = 1,361.66 × 291.57
  4. Step 4: Simplify right side
    908.22x = 397,019.21
  5. Step 5: Solve for x
    x = 397,019.21/908.22
  6. Step 6: Final answer
    x = 437.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.