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Finding the Fourth Proportional to 293.58, 438.23 and 270.90

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Solution

The fourth proportional to 293.58, 438.23 and 270.90 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.58 : 438.23 = 270.90 : x
  2. Step 2: Convert to fraction form
    293.58/438.23 = 270.90/x
  3. Step 3: Cross multiply
    293.58x = 438.23 × 270.90
  4. Step 4: Simplify right side
    293.58x = 118,715.15
  5. Step 5: Solve for x
    x = 118,715.15/293.58
  6. Step 6: Final answer
    x = 404.37

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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.