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Finding the Fourth Proportional to 347.21, 518.13 and 310.76

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Solution

The fourth proportional to 347.21, 518.13 and 310.76 is: 463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.21 : 518.13 = 310.76 : x
  2. Step 2: Convert to fraction form
    347.21/518.13 = 310.76/x
  3. Step 3: Cross multiply
    347.21x = 518.13 × 310.76
  4. Step 4: Simplify right side
    347.21x = 161,011.49
  5. Step 5: Solve for x
    x = 161,011.49/347.21
  6. Step 6: Final answer
    x = 463.74

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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.