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Finding the Fourth Proportional to 557.26, 835.32 and 249.26

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Solution

The fourth proportional to 557.26, 835.32 and 249.26 is: 373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.26 : 835.32 = 249.26 : x
  2. Step 2: Convert to fraction form
    557.26/835.32 = 249.26/x
  3. Step 3: Cross multiply
    557.26x = 835.32 × 249.26
  4. Step 4: Simplify right side
    557.26x = 208,211.86
  5. Step 5: Solve for x
    x = 208,211.86/557.26
  6. Step 6: Final answer
    x = 373.64

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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.