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Finding the Fourth Proportional to 292.48, 403.54 and 186.17

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Solution

The fourth proportional to 292.48, 403.54 and 186.17 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.48 : 403.54 = 186.17 : x
  2. Step 2: Convert to fraction form
    292.48/403.54 = 186.17/x
  3. Step 3: Cross multiply
    292.48x = 403.54 × 186.17
  4. Step 4: Simplify right side
    292.48x = 75,124.56
  5. Step 5: Solve for x
    x = 75,124.56/292.48
  6. Step 6: Final answer
    x = 256.86

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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.