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Finding the Fourth Proportional to 271.80, 405.75 and 237.24

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Solution

The fourth proportional to 271.80, 405.75 and 237.24 is: 354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 405.75 = 237.24 : x
  2. Step 2: Convert to fraction form
    271.80/405.75 = 237.24/x
  3. Step 3: Cross multiply
    271.80x = 405.75 × 237.24
  4. Step 4: Simplify right side
    271.80x = 96,260.13
  5. Step 5: Solve for x
    x = 96,260.13/271.80
  6. Step 6: Final answer
    x = 354.16

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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.