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Finding the Fourth Proportional to 366.72, 549.76 and 212.80

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Solution

The fourth proportional to 366.72, 549.76 and 212.80 is: 319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.72 : 549.76 = 212.80 : x
  2. Step 2: Convert to fraction form
    366.72/549.76 = 212.80/x
  3. Step 3: Cross multiply
    366.72x = 549.76 × 212.80
  4. Step 4: Simplify right side
    366.72x = 116,988.93
  5. Step 5: Solve for x
    x = 116,988.93/366.72
  6. Step 6: Final answer
    x = 319.01

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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.