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Finding the Fourth Proportional to 436.36, 602.16 and 261.69

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Solution

The fourth proportional to 436.36, 602.16 and 261.69 is: 361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.36 : 602.16 = 261.69 : x
  2. Step 2: Convert to fraction form
    436.36/602.16 = 261.69/x
  3. Step 3: Cross multiply
    436.36x = 602.16 × 261.69
  4. Step 4: Simplify right side
    436.36x = 157,579.25
  5. Step 5: Solve for x
    x = 157,579.25/436.36
  6. Step 6: Final answer
    x = 361.12

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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.