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Finding the Fourth Proportional to 366.94, 549.32 and 212.39

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Solution

The fourth proportional to 366.94, 549.32 and 212.39 is: 317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.94 : 549.32 = 212.39 : x
  2. Step 2: Convert to fraction form
    366.94/549.32 = 212.39/x
  3. Step 3: Cross multiply
    366.94x = 549.32 × 212.39
  4. Step 4: Simplify right side
    366.94x = 116,666.27
  5. Step 5: Solve for x
    x = 116,666.27/366.94
  6. Step 6: Final answer
    x = 317.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.