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Finding the Fourth Proportional to 357.56, 491.39 and 279.80

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Solution

The fourth proportional to 357.56, 491.39 and 279.80 is: 384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.56 : 491.39 = 279.80 : x
  2. Step 2: Convert to fraction form
    357.56/491.39 = 279.80/x
  3. Step 3: Cross multiply
    357.56x = 491.39 × 279.80
  4. Step 4: Simplify right side
    357.56x = 137,490.92
  5. Step 5: Solve for x
    x = 137,490.92/357.56
  6. Step 6: Final answer
    x = 384.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.