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Finding the Fourth Proportional to 571.54, 857.30 and 138.68

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Solution

The fourth proportional to 571.54, 857.30 and 138.68 is: 208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.54 : 857.30 = 138.68 : x
  2. Step 2: Convert to fraction form
    571.54/857.30 = 138.68/x
  3. Step 3: Cross multiply
    571.54x = 857.30 × 138.68
  4. Step 4: Simplify right side
    571.54x = 118,890.36
  5. Step 5: Solve for x
    x = 118,890.36/571.54
  6. Step 6: Final answer
    x = 208.02

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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.