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Finding the Fourth Proportional to 551.46, 760.62 and 355.20

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Solution

The fourth proportional to 551.46, 760.62 and 355.20 is: 489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.46 : 760.62 = 355.20 : x
  2. Step 2: Convert to fraction form
    551.46/760.62 = 355.20/x
  3. Step 3: Cross multiply
    551.46x = 760.62 × 355.20
  4. Step 4: Simplify right side
    551.46x = 270,172.22
  5. Step 5: Solve for x
    x = 270,172.22/551.46
  6. Step 6: Final answer
    x = 489.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.