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Finding the Fourth Proportional to 290.28, 436.38 and 242.28

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Solution

The fourth proportional to 290.28, 436.38 and 242.28 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.28 : 436.38 = 242.28 : x
  2. Step 2: Convert to fraction form
    290.28/436.38 = 242.28/x
  3. Step 3: Cross multiply
    290.28x = 436.38 × 242.28
  4. Step 4: Simplify right side
    290.28x = 105,726.15
  5. Step 5: Solve for x
    x = 105,726.15/290.28
  6. Step 6: Final answer
    x = 364.22

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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.