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Finding the Fourth Proportional to 436.18, 602.10 and 296.23

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Solution

The fourth proportional to 436.18, 602.10 and 296.23 is: 408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.18 : 602.10 = 296.23 : x
  2. Step 2: Convert to fraction form
    436.18/602.10 = 296.23/x
  3. Step 3: Cross multiply
    436.18x = 602.10 × 296.23
  4. Step 4: Simplify right side
    436.18x = 178,360.08
  5. Step 5: Solve for x
    x = 178,360.08/436.18
  6. Step 6: Final answer
    x = 408.91

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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.