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Finding the Fourth Proportional to 347.59, 518.07 and 328.13

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Solution

The fourth proportional to 347.59, 518.07 and 328.13 is: 489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.59 : 518.07 = 328.13 : x
  2. Step 2: Convert to fraction form
    347.59/518.07 = 328.13/x
  3. Step 3: Cross multiply
    347.59x = 518.07 × 328.13
  4. Step 4: Simplify right side
    347.59x = 169,994.31
  5. Step 5: Solve for x
    x = 169,994.31/347.59
  6. Step 6: Final answer
    x = 489.07

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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.