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Finding the Fourth Proportional to 401.91, 603.04 and 170.76

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Solution

The fourth proportional to 401.91, 603.04 and 170.76 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.91 : 603.04 = 170.76 : x
  2. Step 2: Convert to fraction form
    401.91/603.04 = 170.76/x
  3. Step 3: Cross multiply
    401.91x = 603.04 × 170.76
  4. Step 4: Simplify right side
    401.91x = 102,975.11
  5. Step 5: Solve for x
    x = 102,975.11/401.91
  6. Step 6: Final answer
    x = 256.21

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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.