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Finding the Fourth Proportional to 349.77, 520.66 and 344.58

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Solution

The fourth proportional to 349.77, 520.66 and 344.58 is: 512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.77 : 520.66 = 344.58 : x
  2. Step 2: Convert to fraction form
    349.77/520.66 = 344.58/x
  3. Step 3: Cross multiply
    349.77x = 520.66 × 344.58
  4. Step 4: Simplify right side
    349.77x = 179,409.02
  5. Step 5: Solve for x
    x = 179,409.02/349.77
  6. Step 6: Final answer
    x = 512.93

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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.