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Finding the Fourth Proportional to 347.90, 522.05 and 274.32

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Solution

The fourth proportional to 347.90, 522.05 and 274.32 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.90 : 522.05 = 274.32 : x
  2. Step 2: Convert to fraction form
    347.90/522.05 = 274.32/x
  3. Step 3: Cross multiply
    347.90x = 522.05 × 274.32
  4. Step 4: Simplify right side
    347.90x = 143,207.38
  5. Step 5: Solve for x
    x = 143,207.38/347.90
  6. Step 6: Final answer
    x = 411.64

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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.