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Finding the Fourth Proportional to 557.04, 834.94 and 248.80

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Solution

The fourth proportional to 557.04, 834.94 and 248.80 is: 372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.04 : 834.94 = 248.80 : x
  2. Step 2: Convert to fraction form
    557.04/834.94 = 248.80/x
  3. Step 3: Cross multiply
    557.04x = 834.94 × 248.80
  4. Step 4: Simplify right side
    557.04x = 207,733.07
  5. Step 5: Solve for x
    x = 207,733.07/557.04
  6. Step 6: Final answer
    x = 372.92

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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.