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Finding the Fourth Proportional to 361.08, 538.70 and 309.12

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Solution

The fourth proportional to 361.08, 538.70 and 309.12 is: 461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.08 : 538.70 = 309.12 : x
  2. Step 2: Convert to fraction form
    361.08/538.70 = 309.12/x
  3. Step 3: Cross multiply
    361.08x = 538.70 × 309.12
  4. Step 4: Simplify right side
    361.08x = 166,522.94
  5. Step 5: Solve for x
    x = 166,522.94/361.08
  6. Step 6: Final answer
    x = 461.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.