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Finding the Fourth Proportional to 530.42, 796.10 and 256.91

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Solution

The fourth proportional to 530.42, 796.10 and 256.91 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.42 : 796.10 = 256.91 : x
  2. Step 2: Convert to fraction form
    530.42/796.10 = 256.91/x
  3. Step 3: Cross multiply
    530.42x = 796.10 × 256.91
  4. Step 4: Simplify right side
    530.42x = 204,520.79
  5. Step 5: Solve for x
    x = 204,520.79/530.42
  6. Step 6: Final answer
    x = 385.59

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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.