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Finding the Fourth Proportional to 266.60, 366.53 and 227.72

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Solution

The fourth proportional to 266.60, 366.53 and 227.72 is: 313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.60 : 366.53 = 227.72 : x
  2. Step 2: Convert to fraction form
    266.60/366.53 = 227.72/x
  3. Step 3: Cross multiply
    266.60x = 366.53 × 227.72
  4. Step 4: Simplify right side
    266.60x = 83,466.21
  5. Step 5: Solve for x
    x = 83,466.21/266.60
  6. Step 6: Final answer
    x = 313.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.