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Finding the Fourth Proportional to 436.12, 601.62 and 261.40

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Solution

The fourth proportional to 436.12, 601.62 and 261.40 is: 360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.12 : 601.62 = 261.40 : x
  2. Step 2: Convert to fraction form
    436.12/601.62 = 261.40/x
  3. Step 3: Cross multiply
    436.12x = 601.62 × 261.40
  4. Step 4: Simplify right side
    436.12x = 157,263.47
  5. Step 5: Solve for x
    x = 157,263.47/436.12
  6. Step 6: Final answer
    x = 360.60

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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.