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Finding the Fourth Proportional to 348.76, 519.95 and 328.10

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Solution

The fourth proportional to 348.76, 519.95 and 328.10 is: 489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.76 : 519.95 = 328.10 : x
  2. Step 2: Convert to fraction form
    348.76/519.95 = 328.10/x
  3. Step 3: Cross multiply
    348.76x = 519.95 × 328.10
  4. Step 4: Simplify right side
    348.76x = 170,595.60
  5. Step 5: Solve for x
    x = 170,595.60/348.76
  6. Step 6: Final answer
    x = 489.15

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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.