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Finding the Fourth Proportional to 571.50, 857.16 and 246.96

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Solution

The fourth proportional to 571.50, 857.16 and 246.96 is: 370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.50 : 857.16 = 246.96 : x
  2. Step 2: Convert to fraction form
    571.50/857.16 = 246.96/x
  3. Step 3: Cross multiply
    571.50x = 857.16 × 246.96
  4. Step 4: Simplify right side
    571.50x = 211,684.23
  5. Step 5: Solve for x
    x = 211,684.23/571.50
  6. Step 6: Final answer
    x = 370.40

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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.