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Finding the Fourth Proportional to 178.90, 268.42 and 176.08

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Solution

The fourth proportional to 178.90, 268.42 and 176.08 is: 264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.90 : 268.42 = 176.08 : x
  2. Step 2: Convert to fraction form
    178.90/268.42 = 176.08/x
  3. Step 3: Cross multiply
    178.90x = 268.42 × 176.08
  4. Step 4: Simplify right side
    178.90x = 47,263.39
  5. Step 5: Solve for x
    x = 47,263.39/178.90
  6. Step 6: Final answer
    x = 264.19

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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.