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Finding the Fourth Proportional to 572.06, 858.09 and 182.05

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Solution

The fourth proportional to 572.06, 858.09 and 182.05 is: 273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 858.09 = 182.05 : x
  2. Step 2: Convert to fraction form
    572.06/858.09 = 182.05/x
  3. Step 3: Cross multiply
    572.06x = 858.09 × 182.05
  4. Step 4: Simplify right side
    572.06x = 156,215.28
  5. Step 5: Solve for x
    x = 156,215.28/572.06
  6. Step 6: Final answer
    x = 273.08

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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.