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Finding the Fourth Proportional to 586.89, 879.85 and 221.62

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Solution

The fourth proportional to 586.89, 879.85 and 221.62 is: 332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.89 : 879.85 = 221.62 : x
  2. Step 2: Convert to fraction form
    586.89/879.85 = 221.62/x
  3. Step 3: Cross multiply
    586.89x = 879.85 × 221.62
  4. Step 4: Simplify right side
    586.89x = 194,992.36
  5. Step 5: Solve for x
    x = 194,992.36/586.89
  6. Step 6: Final answer
    x = 332.25

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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.