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Finding the Fourth Proportional to 347.49, 518.40 and 320.15

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Solution

The fourth proportional to 347.49, 518.40 and 320.15 is: 477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.49 : 518.40 = 320.15 : x
  2. Step 2: Convert to fraction form
    347.49/518.40 = 320.15/x
  3. Step 3: Cross multiply
    347.49x = 518.40 × 320.15
  4. Step 4: Simplify right side
    347.49x = 165,967.06
  5. Step 5: Solve for x
    x = 165,967.06/347.49
  6. Step 6: Final answer
    x = 477.62

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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.