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Finding the Fourth Proportional to 293.25, 437.49 and 291.20

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Solution

The fourth proportional to 293.25, 437.49 and 291.20 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.25 : 437.49 = 291.20 : x
  2. Step 2: Convert to fraction form
    293.25/437.49 = 291.20/x
  3. Step 3: Cross multiply
    293.25x = 437.49 × 291.20
  4. Step 4: Simplify right side
    293.25x = 127,394.90
  5. Step 5: Solve for x
    x = 127,394.90/293.25
  6. Step 6: Final answer
    x = 434.42

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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.