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Finding the Fourth Proportional to 537.67, 741.98 and 298.40

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Solution

The fourth proportional to 537.67, 741.98 and 298.40 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.67 : 741.98 = 298.40 : x
  2. Step 2: Convert to fraction form
    537.67/741.98 = 298.40/x
  3. Step 3: Cross multiply
    537.67x = 741.98 × 298.40
  4. Step 4: Simplify right side
    537.67x = 221,406.36
  5. Step 5: Solve for x
    x = 221,406.36/537.67
  6. Step 6: Final answer
    x = 411.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.