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Finding the Fourth Proportional to 571.38, 857.13 and 186.63

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Solution

The fourth proportional to 571.38, 857.13 and 186.63 is: 279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 857.13 = 186.63 : x
  2. Step 2: Convert to fraction form
    571.38/857.13 = 186.63/x
  3. Step 3: Cross multiply
    571.38x = 857.13 × 186.63
  4. Step 4: Simplify right side
    571.38x = 159,966.17
  5. Step 5: Solve for x
    x = 159,966.17/571.38
  6. Step 6: Final answer
    x = 279.96

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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.