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Finding the Fourth Proportional to 210.82, 315.69 and 178.42

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Solution

The fourth proportional to 210.82, 315.69 and 178.42 is: 267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.82 : 315.69 = 178.42 : x
  2. Step 2: Convert to fraction form
    210.82/315.69 = 178.42/x
  3. Step 3: Cross multiply
    210.82x = 315.69 × 178.42
  4. Step 4: Simplify right side
    210.82x = 56,325.41
  5. Step 5: Solve for x
    x = 56,325.41/210.82
  6. Step 6: Final answer
    x = 267.17

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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.