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Finding the Fourth Proportional to 292.15, 436.15 and 259.75

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Solution

The fourth proportional to 292.15, 436.15 and 259.75 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.15 : 436.15 = 259.75 : x
  2. Step 2: Convert to fraction form
    292.15/436.15 = 259.75/x
  3. Step 3: Cross multiply
    292.15x = 436.15 × 259.75
  4. Step 4: Simplify right side
    292.15x = 113,290.61
  5. Step 5: Solve for x
    x = 113,290.61/292.15
  6. Step 6: Final answer
    x = 387.78

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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.