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Finding the Fourth Proportional to 357.96, 534.39 and 293.88

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Solution

The fourth proportional to 357.96, 534.39 and 293.88 is: 438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.96 : 534.39 = 293.88 : x
  2. Step 2: Convert to fraction form
    357.96/534.39 = 293.88/x
  3. Step 3: Cross multiply
    357.96x = 534.39 × 293.88
  4. Step 4: Simplify right side
    357.96x = 157,046.53
  5. Step 5: Solve for x
    x = 157,046.53/357.96
  6. Step 6: Final answer
    x = 438.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.