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Finding the Fourth Proportional to 343.54, 515.21 and 99.98

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Solution

The fourth proportional to 343.54, 515.21 and 99.98 is: 149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 515.21 = 99.98 : x
  2. Step 2: Convert to fraction form
    343.54/515.21 = 99.98/x
  3. Step 3: Cross multiply
    343.54x = 515.21 × 99.98
  4. Step 4: Simplify right side
    343.54x = 51,513.01
  5. Step 5: Solve for x
    x = 51,513.01/343.54
  6. Step 6: Final answer
    x = 149.95

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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.