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Finding the Fourth Proportional to 209.53, 312.74 and 178.48

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Solution

The fourth proportional to 209.53, 312.74 and 178.48 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 312.74 = 178.48 : x
  2. Step 2: Convert to fraction form
    209.53/312.74 = 178.48/x
  3. Step 3: Cross multiply
    209.53x = 312.74 × 178.48
  4. Step 4: Simplify right side
    209.53x = 55,817.84
  5. Step 5: Solve for x
    x = 55,817.84/209.53
  6. Step 6: Final answer
    x = 266.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.