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Finding the Fourth Proportional to 611.76, 917.64 and 221.78

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Solution

The fourth proportional to 611.76, 917.64 and 221.78 is: 332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.76 : 917.64 = 221.78 : x
  2. Step 2: Convert to fraction form
    611.76/917.64 = 221.78/x
  3. Step 3: Cross multiply
    611.76x = 917.64 × 221.78
  4. Step 4: Simplify right side
    611.76x = 203,509.61
  5. Step 5: Solve for x
    x = 203,509.61/611.76
  6. Step 6: Final answer
    x = 332.66

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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.