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Finding the Fourth Proportional to 436.91, 655.23 and 159.21

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Solution

The fourth proportional to 436.91, 655.23 and 159.21 is: 238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.91 : 655.23 = 159.21 : x
  2. Step 2: Convert to fraction form
    436.91/655.23 = 159.21/x
  3. Step 3: Cross multiply
    436.91x = 655.23 × 159.21
  4. Step 4: Simplify right side
    436.91x = 104,319.17
  5. Step 5: Solve for x
    x = 104,319.17/436.91
  6. Step 6: Final answer
    x = 238.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.