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Finding the Fourth Proportional to 271.20, 405.06 and 237.18

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Solution

The fourth proportional to 271.20, 405.06 and 237.18 is: 354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.20 : 405.06 = 237.18 : x
  2. Step 2: Convert to fraction form
    271.20/405.06 = 237.18/x
  3. Step 3: Cross multiply
    271.20x = 405.06 × 237.18
  4. Step 4: Simplify right side
    271.20x = 96,072.13
  5. Step 5: Solve for x
    x = 96,072.13/271.20
  6. Step 6: Final answer
    x = 354.25

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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.