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Finding the Fourth Proportional to 186.58, 278.23 and 173.60

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Solution

The fourth proportional to 186.58, 278.23 and 173.60 is: 258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.58 : 278.23 = 173.60 : x
  2. Step 2: Convert to fraction form
    186.58/278.23 = 173.60/x
  3. Step 3: Cross multiply
    186.58x = 278.23 × 173.60
  4. Step 4: Simplify right side
    186.58x = 48,298.47
  5. Step 5: Solve for x
    x = 48,298.47/186.58
  6. Step 6: Final answer
    x = 258.86

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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.