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Finding the Fourth Proportional to 292.28, 436.34 and 259.88

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Solution

The fourth proportional to 292.28, 436.34 and 259.88 is: 387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.28 : 436.34 = 259.88 : x
  2. Step 2: Convert to fraction form
    292.28/436.34 = 259.88/x
  3. Step 3: Cross multiply
    292.28x = 436.34 × 259.88
  4. Step 4: Simplify right side
    292.28x = 113,393.53
  5. Step 5: Solve for x
    x = 113,393.53/292.28
  6. Step 6: Final answer
    x = 387.97

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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.