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Finding the Fourth Proportional to 186.17, 278.58 and 172.54

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Solution

The fourth proportional to 186.17, 278.58 and 172.54 is: 258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 278.58 = 172.54 : x
  2. Step 2: Convert to fraction form
    186.17/278.58 = 172.54/x
  3. Step 3: Cross multiply
    186.17x = 278.58 × 172.54
  4. Step 4: Simplify right side
    186.17x = 48,066.19
  5. Step 5: Solve for x
    x = 48,066.19/186.17
  6. Step 6: Final answer
    x = 258.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.