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Finding the Fourth Proportional to 274.34, 410.53 and 171.67

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Solution

The fourth proportional to 274.34, 410.53 and 171.67 is: 256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.34 : 410.53 = 171.67 : x
  2. Step 2: Convert to fraction form
    274.34/410.53 = 171.67/x
  3. Step 3: Cross multiply
    274.34x = 410.53 × 171.67
  4. Step 4: Simplify right side
    274.34x = 70,475.69
  5. Step 5: Solve for x
    x = 70,475.69/274.34
  6. Step 6: Final answer
    x = 256.89

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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.