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Finding the Fourth Proportional to 369.34, 549.80 and 363.88

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Solution

The fourth proportional to 369.34, 549.80 and 363.88 is: 541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.34 : 549.80 = 363.88 : x
  2. Step 2: Convert to fraction form
    369.34/549.80 = 363.88/x
  3. Step 3: Cross multiply
    369.34x = 549.80 × 363.88
  4. Step 4: Simplify right side
    369.34x = 200,061.22
  5. Step 5: Solve for x
    x = 200,061.22/369.34
  6. Step 6: Final answer
    x = 541.67

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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.