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Finding the Fourth Proportional to 343.54, 513.30 and 301.88

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Solution

The fourth proportional to 343.54, 513.30 and 301.88 is: 451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 513.30 = 301.88 : x
  2. Step 2: Convert to fraction form
    343.54/513.30 = 301.88/x
  3. Step 3: Cross multiply
    343.54x = 513.30 × 301.88
  4. Step 4: Simplify right side
    343.54x = 154,955.00
  5. Step 5: Solve for x
    x = 154,955.00/343.54
  6. Step 6: Final answer
    x = 451.05

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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.