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Finding the Fourth Proportional to 343.75, 513.14 and 320.70

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Solution

The fourth proportional to 343.75, 513.14 and 320.70 is: 478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.75 : 513.14 = 320.70 : x
  2. Step 2: Convert to fraction form
    343.75/513.14 = 320.70/x
  3. Step 3: Cross multiply
    343.75x = 513.14 × 320.70
  4. Step 4: Simplify right side
    343.75x = 164,564.00
  5. Step 5: Solve for x
    x = 164,564.00/343.75
  6. Step 6: Final answer
    x = 478.73

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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.