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Finding the Fourth Proportional to 347.10, 519.74 and 306.11

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Solution

The fourth proportional to 347.10, 519.74 and 306.11 is: 458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.10 : 519.74 = 306.11 : x
  2. Step 2: Convert to fraction form
    347.10/519.74 = 306.11/x
  3. Step 3: Cross multiply
    347.10x = 519.74 × 306.11
  4. Step 4: Simplify right side
    347.10x = 159,093.48
  5. Step 5: Solve for x
    x = 159,093.48/347.10
  6. Step 6: Final answer
    x = 458.35

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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.