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Finding the Fourth Proportional to 366.49, 551.87 and 264.47

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Solution

The fourth proportional to 366.49, 551.87 and 264.47 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.49 : 551.87 = 264.47 : x
  2. Step 2: Convert to fraction form
    366.49/551.87 = 264.47/x
  3. Step 3: Cross multiply
    366.49x = 551.87 × 264.47
  4. Step 4: Simplify right side
    366.49x = 145,953.12
  5. Step 5: Solve for x
    x = 145,953.12/366.49
  6. Step 6: Final answer
    x = 398.25

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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.