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Finding the Fourth Proportional to 606.53, 909.86 and 221.69

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Solution

The fourth proportional to 606.53, 909.86 and 221.69 is: 332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.53 : 909.86 = 221.69 : x
  2. Step 2: Convert to fraction form
    606.53/909.86 = 221.69/x
  3. Step 3: Cross multiply
    606.53x = 909.86 × 221.69
  4. Step 4: Simplify right side
    606.53x = 201,701.21
  5. Step 5: Solve for x
    x = 201,701.21/606.53
  6. Step 6: Final answer
    x = 332.55

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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.