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Finding the Fourth Proportional to 571.93, 857.21 and 242.76

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Solution

The fourth proportional to 571.93, 857.21 and 242.76 is: 363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.93 : 857.21 = 242.76 : x
  2. Step 2: Convert to fraction form
    571.93/857.21 = 242.76/x
  3. Step 3: Cross multiply
    571.93x = 857.21 × 242.76
  4. Step 4: Simplify right side
    571.93x = 208,099.05
  5. Step 5: Solve for x
    x = 208,099.05/571.93
  6. Step 6: Final answer
    x = 363.86

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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.