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Finding the Fourth Proportional to 436.88, 602.71 and 262.13

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Solution

The fourth proportional to 436.88, 602.71 and 262.13 is: 361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.88 : 602.71 = 262.13 : x
  2. Step 2: Convert to fraction form
    436.88/602.71 = 262.13/x
  3. Step 3: Cross multiply
    436.88x = 602.71 × 262.13
  4. Step 4: Simplify right side
    436.88x = 157,984.70
  5. Step 5: Solve for x
    x = 157,984.70/436.88
  6. Step 6: Final answer
    x = 361.62

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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.