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Finding the Fourth Proportional to 411.98, 568.50 and 237.34

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Solution

The fourth proportional to 411.98, 568.50 and 237.34 is: 327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.98 : 568.50 = 237.34 : x
  2. Step 2: Convert to fraction form
    411.98/568.50 = 237.34/x
  3. Step 3: Cross multiply
    411.98x = 568.50 × 237.34
  4. Step 4: Simplify right side
    411.98x = 134,924.95
  5. Step 5: Solve for x
    x = 134,924.95/411.98
  6. Step 6: Final answer
    x = 327.50

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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.