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Finding the Fourth Proportional to 343.88, 515.30 and 206.77

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Solution

The fourth proportional to 343.88, 515.30 and 206.77 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.88 : 515.30 = 206.77 : x
  2. Step 2: Convert to fraction form
    343.88/515.30 = 206.77/x
  3. Step 3: Cross multiply
    343.88x = 515.30 × 206.77
  4. Step 4: Simplify right side
    343.88x = 106,547.55
  5. Step 5: Solve for x
    x = 106,547.55/343.88
  6. Step 6: Final answer
    x = 309.84

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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.