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Finding the Fourth Proportional to 436.38, 602.27 and 261.82

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Solution

The fourth proportional to 436.38, 602.27 and 261.82 is: 361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.38 : 602.27 = 261.82 : x
  2. Step 2: Convert to fraction form
    436.38/602.27 = 261.82/x
  3. Step 3: Cross multiply
    436.38x = 602.27 × 261.82
  4. Step 4: Simplify right side
    436.38x = 157,686.33
  5. Step 5: Solve for x
    x = 157,686.33/436.38
  6. Step 6: Final answer
    x = 361.35

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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.