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Finding the Fourth Proportional to 186.06, 256.84 and 128.14

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Solution

The fourth proportional to 186.06, 256.84 and 128.14 is: 176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.06 : 256.84 = 128.14 : x
  2. Step 2: Convert to fraction form
    186.06/256.84 = 128.14/x
  3. Step 3: Cross multiply
    186.06x = 256.84 × 128.14
  4. Step 4: Simplify right side
    186.06x = 32,911.48
  5. Step 5: Solve for x
    x = 32,911.48/186.06
  6. Step 6: Final answer
    x = 176.89

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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.