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Finding the Fourth Proportional to 268.02, 402.19 and 176.98

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Solution

The fourth proportional to 268.02, 402.19 and 176.98 is: 265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.02 : 402.19 = 176.98 : x
  2. Step 2: Convert to fraction form
    268.02/402.19 = 176.98/x
  3. Step 3: Cross multiply
    268.02x = 402.19 × 176.98
  4. Step 4: Simplify right side
    268.02x = 71,179.59
  5. Step 5: Solve for x
    x = 71,179.59/268.02
  6. Step 6: Final answer
    x = 265.58

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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.