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Finding the Fourth Proportional to 436.74, 602.22 and 296.57

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Solution

The fourth proportional to 436.74, 602.22 and 296.57 is: 408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.74 : 602.22 = 296.57 : x
  2. Step 2: Convert to fraction form
    436.74/602.22 = 296.57/x
  3. Step 3: Cross multiply
    436.74x = 602.22 × 296.57
  4. Step 4: Simplify right side
    436.74x = 178,603.43
  5. Step 5: Solve for x
    x = 178,603.43/436.74
  6. Step 6: Final answer
    x = 408.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.