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Finding the Fourth Proportional to 340.34, 468.59 and 270.16

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Solution

The fourth proportional to 340.34, 468.59 and 270.16 is: 371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 468.59 = 270.16 : x
  2. Step 2: Convert to fraction form
    340.34/468.59 = 270.16/x
  3. Step 3: Cross multiply
    340.34x = 468.59 × 270.16
  4. Step 4: Simplify right side
    340.34x = 126,591.75
  5. Step 5: Solve for x
    x = 126,591.75/340.34
  6. Step 6: Final answer
    x = 371.96

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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.