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Finding the Fourth Proportional to 530.64, 795.42 and 222.71

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Solution

The fourth proportional to 530.64, 795.42 and 222.71 is: 333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 795.42 = 222.71 : x
  2. Step 2: Convert to fraction form
    530.64/795.42 = 222.71/x
  3. Step 3: Cross multiply
    530.64x = 795.42 × 222.71
  4. Step 4: Simplify right side
    530.64x = 177,144.01
  5. Step 5: Solve for x
    x = 177,144.01/530.64
  6. Step 6: Final answer
    x = 333.83

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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.