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Finding the Fourth Proportional to 277.53, 415.74 and 212.91

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Solution

The fourth proportional to 277.53, 415.74 and 212.91 is: 318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.53 : 415.74 = 212.91 : x
  2. Step 2: Convert to fraction form
    277.53/415.74 = 212.91/x
  3. Step 3: Cross multiply
    277.53x = 415.74 × 212.91
  4. Step 4: Simplify right side
    277.53x = 88,515.20
  5. Step 5: Solve for x
    x = 88,515.20/277.53
  6. Step 6: Final answer
    x = 318.94

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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.