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Finding the Fourth Proportional to 351.89, 528.16 and 178.68

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Solution

The fourth proportional to 351.89, 528.16 and 178.68 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.89 : 528.16 = 178.68 : x
  2. Step 2: Convert to fraction form
    351.89/528.16 = 178.68/x
  3. Step 3: Cross multiply
    351.89x = 528.16 × 178.68
  4. Step 4: Simplify right side
    351.89x = 94,368.09
  5. Step 5: Solve for x
    x = 94,368.09/351.89
  6. Step 6: Final answer
    x = 268.18

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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.