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Finding the Fourth Proportional to 366.46, 551.83 and 264.45

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Solution

The fourth proportional to 366.46, 551.83 and 264.45 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.46 : 551.83 = 264.45 : x
  2. Step 2: Convert to fraction form
    366.46/551.83 = 264.45/x
  3. Step 3: Cross multiply
    366.46x = 551.83 × 264.45
  4. Step 4: Simplify right side
    366.46x = 145,931.44
  5. Step 5: Solve for x
    x = 145,931.44/366.46
  6. Step 6: Final answer
    x = 398.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.