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Finding the Fourth Proportional to 186.24, 256.98 and 120.78

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Solution

The fourth proportional to 186.24, 256.98 and 120.78 is: 166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 256.98 = 120.78 : x
  2. Step 2: Convert to fraction form
    186.24/256.98 = 120.78/x
  3. Step 3: Cross multiply
    186.24x = 256.98 × 120.78
  4. Step 4: Simplify right side
    186.24x = 31,038.04
  5. Step 5: Solve for x
    x = 31,038.04/186.24
  6. Step 6: Final answer
    x = 166.66

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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.