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Finding the Fourth Proportional to 366.85, 549.55 and 212.68

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Solution

The fourth proportional to 366.85, 549.55 and 212.68 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.85 : 549.55 = 212.68 : x
  2. Step 2: Convert to fraction form
    366.85/549.55 = 212.68/x
  3. Step 3: Cross multiply
    366.85x = 549.55 × 212.68
  4. Step 4: Simplify right side
    366.85x = 116,878.29
  5. Step 5: Solve for x
    x = 116,878.29/366.85
  6. Step 6: Final answer
    x = 318.60

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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.