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Finding the Fourth Proportional to 266.48, 397.59 and 227.52

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Solution

The fourth proportional to 266.48, 397.59 and 227.52 is: 339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.48 : 397.59 = 227.52 : x
  2. Step 2: Convert to fraction form
    266.48/397.59 = 227.52/x
  3. Step 3: Cross multiply
    266.48x = 397.59 × 227.52
  4. Step 4: Simplify right side
    266.48x = 90,459.68
  5. Step 5: Solve for x
    x = 90,459.68/266.48
  6. Step 6: Final answer
    x = 339.47

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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.