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Finding the Fourth Proportional to 209.64, 313.90 and 178.90

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Solution

The fourth proportional to 209.64, 313.90 and 178.90 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 313.90 = 178.90 : x
  2. Step 2: Convert to fraction form
    209.64/313.90 = 178.90/x
  3. Step 3: Cross multiply
    209.64x = 313.90 × 178.90
  4. Step 4: Simplify right side
    209.64x = 56,156.71
  5. Step 5: Solve for x
    x = 56,156.71/209.64
  6. Step 6: Final answer
    x = 267.87

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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.