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Finding the Fourth Proportional to 403.66, 604.36 and 367.13

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Solution

The fourth proportional to 403.66, 604.36 and 367.13 is: 549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.66 : 604.36 = 367.13 : x
  2. Step 2: Convert to fraction form
    403.66/604.36 = 367.13/x
  3. Step 3: Cross multiply
    403.66x = 604.36 × 367.13
  4. Step 4: Simplify right side
    403.66x = 221,880.66
  5. Step 5: Solve for x
    x = 221,880.66/403.66
  6. Step 6: Final answer
    x = 549.67

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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.