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Finding the Fourth Proportional to 572.06, 858.09 and 139.22

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Solution

The fourth proportional to 572.06, 858.09 and 139.22 is: 208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 858.09 = 139.22 : x
  2. Step 2: Convert to fraction form
    572.06/858.09 = 139.22/x
  3. Step 3: Cross multiply
    572.06x = 858.09 × 139.22
  4. Step 4: Simplify right side
    572.06x = 119,462.74
  5. Step 5: Solve for x
    x = 119,462.74/572.06
  6. Step 6: Final answer
    x = 208.83

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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.