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Finding the Fourth Proportional to 530.80, 796.44 and 222.88

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Solution

The fourth proportional to 530.80, 796.44 and 222.88 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 796.44 = 222.88 : x
  2. Step 2: Convert to fraction form
    530.80/796.44 = 222.88/x
  3. Step 3: Cross multiply
    530.80x = 796.44 × 222.88
  4. Step 4: Simplify right side
    530.80x = 177,510.55
  5. Step 5: Solve for x
    x = 177,510.55/530.80
  6. Step 6: Final answer
    x = 334.42

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1.5x scale

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.