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Finding the Fourth Proportional to 291.06, 401.54 and 186.17

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Solution

The fourth proportional to 291.06, 401.54 and 186.17 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 401.54 = 186.17 : x
  2. Step 2: Convert to fraction form
    291.06/401.54 = 186.17/x
  3. Step 3: Cross multiply
    291.06x = 401.54 × 186.17
  4. Step 4: Simplify right side
    291.06x = 74,751.76
  5. Step 5: Solve for x
    x = 74,751.76/291.06
  6. Step 6: Final answer
    x = 256.83

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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.