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Finding the Fourth Proportional to 290.34, 437.49 and 240.09

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Solution

The fourth proportional to 290.34, 437.49 and 240.09 is: 361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.34 : 437.49 = 240.09 : x
  2. Step 2: Convert to fraction form
    290.34/437.49 = 240.09/x
  3. Step 3: Cross multiply
    290.34x = 437.49 × 240.09
  4. Step 4: Simplify right side
    290.34x = 105,036.97
  5. Step 5: Solve for x
    x = 105,036.97/290.34
  6. Step 6: Final answer
    x = 361.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.