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Finding the Fourth Proportional to 347.70, 522.60 and 287.22

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Solution

The fourth proportional to 347.70, 522.60 and 287.22 is: 431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.70 : 522.60 = 287.22 : x
  2. Step 2: Convert to fraction form
    347.70/522.60 = 287.22/x
  3. Step 3: Cross multiply
    347.70x = 522.60 × 287.22
  4. Step 4: Simplify right side
    347.70x = 150,101.17
  5. Step 5: Solve for x
    x = 150,101.17/347.70
  6. Step 6: Final answer
    x = 431.70

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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.