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Finding the Fourth Proportional to 349.66, 521.36 and 340.09

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Solution

The fourth proportional to 349.66, 521.36 and 340.09 is: 507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.66 : 521.36 = 340.09 : x
  2. Step 2: Convert to fraction form
    349.66/521.36 = 340.09/x
  3. Step 3: Cross multiply
    349.66x = 521.36 × 340.09
  4. Step 4: Simplify right side
    349.66x = 177,306.32
  5. Step 5: Solve for x
    x = 177,306.32/349.66
  6. Step 6: Final answer
    x = 507.09

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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.