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Finding the Fourth Proportional to 313.57, 469.59 and 221.83

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Solution

The fourth proportional to 313.57, 469.59 and 221.83 is: 332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.57 : 469.59 = 221.83 : x
  2. Step 2: Convert to fraction form
    313.57/469.59 = 221.83/x
  3. Step 3: Cross multiply
    313.57x = 469.59 × 221.83
  4. Step 4: Simplify right side
    313.57x = 104,169.15
  5. Step 5: Solve for x
    x = 104,169.15/313.57
  6. Step 6: Final answer
    x = 332.20

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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.