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Finding the Fourth Proportional to 606.36, 909.72 and 282.12

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Solution

The fourth proportional to 606.36, 909.72 and 282.12 is: 423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.36 : 909.72 = 282.12 : x
  2. Step 2: Convert to fraction form
    606.36/909.72 = 282.12/x
  3. Step 3: Cross multiply
    606.36x = 909.72 × 282.12
  4. Step 4: Simplify right side
    606.36x = 256,650.21
  5. Step 5: Solve for x
    x = 256,650.21/606.36
  6. Step 6: Final answer
    x = 423.26

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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.