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Finding the Fourth Proportional to 366.27, 546.32 and 307.83

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Solution

The fourth proportional to 366.27, 546.32 and 307.83 is: 459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.27 : 546.32 = 307.83 : x
  2. Step 2: Convert to fraction form
    366.27/546.32 = 307.83/x
  3. Step 3: Cross multiply
    366.27x = 546.32 × 307.83
  4. Step 4: Simplify right side
    366.27x = 168,172.15
  5. Step 5: Solve for x
    x = 168,172.15/366.27
  6. Step 6: Final answer
    x = 459.15

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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.