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Finding the Fourth Proportional to 347.90, 476.99 and 341.73

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Solution

The fourth proportional to 347.90, 476.99 and 341.73 is: 468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.90 : 476.99 = 341.73 : x
  2. Step 2: Convert to fraction form
    347.90/476.99 = 341.73/x
  3. Step 3: Cross multiply
    347.90x = 476.99 × 341.73
  4. Step 4: Simplify right side
    347.90x = 163,000.08
  5. Step 5: Solve for x
    x = 163,000.08/347.90
  6. Step 6: Final answer
    x = 468.53

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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.