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Finding the Fourth Proportional to 401.88, 603.06 and 158.61

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Solution

The fourth proportional to 401.88, 603.06 and 158.61 is: 238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.88 : 603.06 = 158.61 : x
  2. Step 2: Convert to fraction form
    401.88/603.06 = 158.61/x
  3. Step 3: Cross multiply
    401.88x = 603.06 × 158.61
  4. Step 4: Simplify right side
    401.88x = 95,651.35
  5. Step 5: Solve for x
    x = 95,651.35/401.88
  6. Step 6: Final answer
    x = 238.01

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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.