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Finding the Fourth Proportional to 566.02, 849.30 and 257.97

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Solution

The fourth proportional to 566.02, 849.30 and 257.97 is: 387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.02 : 849.30 = 257.97 : x
  2. Step 2: Convert to fraction form
    566.02/849.30 = 257.97/x
  3. Step 3: Cross multiply
    566.02x = 849.30 × 257.97
  4. Step 4: Simplify right side
    566.02x = 219,093.92
  5. Step 5: Solve for x
    x = 219,093.92/566.02
  6. Step 6: Final answer
    x = 387.08

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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.