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Finding the Fourth Proportional to 366.80, 547.55 and 312.11

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Solution

The fourth proportional to 366.80, 547.55 and 312.11 is: 465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.80 : 547.55 = 312.11 : x
  2. Step 2: Convert to fraction form
    366.80/547.55 = 312.11/x
  3. Step 3: Cross multiply
    366.80x = 547.55 × 312.11
  4. Step 4: Simplify right side
    366.80x = 170,895.83
  5. Step 5: Solve for x
    x = 170,895.83/366.80
  6. Step 6: Final answer
    x = 465.91

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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.