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Finding the Fourth Proportional to 223.01, 307.74 and 134.55

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Solution

The fourth proportional to 223.01, 307.74 and 134.55 is: 185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.01 : 307.74 = 134.55 : x
  2. Step 2: Convert to fraction form
    223.01/307.74 = 134.55/x
  3. Step 3: Cross multiply
    223.01x = 307.74 × 134.55
  4. Step 4: Simplify right side
    223.01x = 41,406.42
  5. Step 5: Solve for x
    x = 41,406.42/223.01
  6. Step 6: Final answer
    x = 185.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.