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Finding the Fourth Proportional to 530.73, 795.94 and 206.02

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Solution

The fourth proportional to 530.73, 795.94 and 206.02 is: 308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.73 : 795.94 = 206.02 : x
  2. Step 2: Convert to fraction form
    530.73/795.94 = 206.02/x
  3. Step 3: Cross multiply
    530.73x = 795.94 × 206.02
  4. Step 4: Simplify right side
    530.73x = 163,979.56
  5. Step 5: Solve for x
    x = 163,979.56/530.73
  6. Step 6: Final answer
    x = 308.97

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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.