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Finding the Fourth Proportional to 572.52, 858.71 and 202.26

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Solution

The fourth proportional to 572.52, 858.71 and 202.26 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 858.71 = 202.26 : x
  2. Step 2: Convert to fraction form
    572.52/858.71 = 202.26/x
  3. Step 3: Cross multiply
    572.52x = 858.71 × 202.26
  4. Step 4: Simplify right side
    572.52x = 173,682.68
  5. Step 5: Solve for x
    x = 173,682.68/572.52
  6. Step 6: Final answer
    x = 303.37

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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.