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Finding the Fourth Proportional to 366.08, 551.27 and 264.08

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Solution

The fourth proportional to 366.08, 551.27 and 264.08 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.08 : 551.27 = 264.08 : x
  2. Step 2: Convert to fraction form
    366.08/551.27 = 264.08/x
  3. Step 3: Cross multiply
    366.08x = 551.27 × 264.08
  4. Step 4: Simplify right side
    366.08x = 145,576.63
  5. Step 5: Solve for x
    x = 145,576.63/366.08
  6. Step 6: Final answer
    x = 397.66

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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.