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Finding the Fourth Proportional to 347.26, 522.78 and 266.46

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Solution

The fourth proportional to 347.26, 522.78 and 266.46 is: 401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.26 : 522.78 = 266.46 : x
  2. Step 2: Convert to fraction form
    347.26/522.78 = 266.46/x
  3. Step 3: Cross multiply
    347.26x = 522.78 × 266.46
  4. Step 4: Simplify right side
    347.26x = 139,299.96
  5. Step 5: Solve for x
    x = 139,299.96/347.26
  6. Step 6: Final answer
    x = 401.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.