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Finding the Fourth Proportional to 313.52, 469.76 and 222.05

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Solution

The fourth proportional to 313.52, 469.76 and 222.05 is: 332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.52 : 469.76 = 222.05 : x
  2. Step 2: Convert to fraction form
    313.52/469.76 = 222.05/x
  3. Step 3: Cross multiply
    313.52x = 469.76 × 222.05
  4. Step 4: Simplify right side
    313.52x = 104,309.58
  5. Step 5: Solve for x
    x = 104,309.58/313.52
  6. Step 6: Final answer
    x = 332.70

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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.