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Finding the Fourth Proportional to 530.78, 796.19 and 206.09

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Solution

The fourth proportional to 530.78, 796.19 and 206.09 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.78 : 796.19 = 206.09 : x
  2. Step 2: Convert to fraction form
    530.78/796.19 = 206.09/x
  3. Step 3: Cross multiply
    530.78x = 796.19 × 206.09
  4. Step 4: Simplify right side
    530.78x = 164,081.79
  5. Step 5: Solve for x
    x = 164,081.79/530.78
  6. Step 6: Final answer
    x = 309.13

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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.