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Finding the Fourth Proportional to 186.88, 278.78 and 169.60

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Solution

The fourth proportional to 186.88, 278.78 and 169.60 is: 253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.88 : 278.78 = 169.60 : x
  2. Step 2: Convert to fraction form
    186.88/278.78 = 169.60/x
  3. Step 3: Cross multiply
    186.88x = 278.78 × 169.60
  4. Step 4: Simplify right side
    186.88x = 47,281.09
  5. Step 5: Solve for x
    x = 47,281.09/186.88
  6. Step 6: Final answer
    x = 253.00

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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.