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Finding the Fourth Proportional to 572.02, 857.52 and 206.56

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Solution

The fourth proportional to 572.02, 857.52 and 206.56 is: 309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.02 : 857.52 = 206.56 : x
  2. Step 2: Convert to fraction form
    572.02/857.52 = 206.56/x
  3. Step 3: Cross multiply
    572.02x = 857.52 × 206.56
  4. Step 4: Simplify right side
    572.02x = 177,124.01
  5. Step 5: Solve for x
    x = 177,124.01/572.02
  6. Step 6: Final answer
    x = 309.65

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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.