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Finding the Fourth Proportional to 530.96, 796.60 and 257.20

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Solution

The fourth proportional to 530.96, 796.60 and 257.20 is: 385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 796.60 = 257.20 : x
  2. Step 2: Convert to fraction form
    530.96/796.60 = 257.20/x
  3. Step 3: Cross multiply
    530.96x = 796.60 × 257.20
  4. Step 4: Simplify right side
    530.96x = 204,885.52
  5. Step 5: Solve for x
    x = 204,885.52/530.96
  6. Step 6: Final answer
    x = 385.88

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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.