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Finding the Fourth Proportional to 348.77, 520.83 and 328.52

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Solution

The fourth proportional to 348.77, 520.83 and 328.52 is: 490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.77 : 520.83 = 328.52 : x
  2. Step 2: Convert to fraction form
    348.77/520.83 = 328.52/x
  3. Step 3: Cross multiply
    348.77x = 520.83 × 328.52
  4. Step 4: Simplify right side
    348.77x = 171,103.07
  5. Step 5: Solve for x
    x = 171,103.07/348.77
  6. Step 6: Final answer
    x = 490.59

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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.