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Finding the Fourth Proportional to 347.17, 518.08 and 310.22

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Solution

The fourth proportional to 347.17, 518.08 and 310.22 is: 462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.17 : 518.08 = 310.22 : x
  2. Step 2: Convert to fraction form
    347.17/518.08 = 310.22/x
  3. Step 3: Cross multiply
    347.17x = 518.08 × 310.22
  4. Step 4: Simplify right side
    347.17x = 160,718.78
  5. Step 5: Solve for x
    x = 160,718.78/347.17
  6. Step 6: Final answer
    x = 462.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.