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Finding the Fourth Proportional to 364.79, 547.09 and 133.67

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Solution

The fourth proportional to 364.79, 547.09 and 133.67 is: 200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.79 : 547.09 = 133.67 : x
  2. Step 2: Convert to fraction form
    364.79/547.09 = 133.67/x
  3. Step 3: Cross multiply
    364.79x = 547.09 × 133.67
  4. Step 4: Simplify right side
    364.79x = 73,130.55
  5. Step 5: Solve for x
    x = 73,130.55/364.79
  6. Step 6: Final answer
    x = 200.47

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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.