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Finding the Fourth Proportional to 348.72, 520.32 and 328.08

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Solution

The fourth proportional to 348.72, 520.32 and 328.08 is: 489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.72 : 520.32 = 328.08 : x
  2. Step 2: Convert to fraction form
    348.72/520.32 = 328.08/x
  3. Step 3: Cross multiply
    348.72x = 520.32 × 328.08
  4. Step 4: Simplify right side
    348.72x = 170,706.59
  5. Step 5: Solve for x
    x = 170,706.59/348.72
  6. Step 6: Final answer
    x = 489.52

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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.