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Finding the Fourth Proportional to 401.98, 602.74 and 158.22

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Solution

The fourth proportional to 401.98, 602.74 and 158.22 is: 237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.98 : 602.74 = 158.22 : x
  2. Step 2: Convert to fraction form
    401.98/602.74 = 158.22/x
  3. Step 3: Cross multiply
    401.98x = 602.74 × 158.22
  4. Step 4: Simplify right side
    401.98x = 95,365.52
  5. Step 5: Solve for x
    x = 95,365.52/401.98
  6. Step 6: Final answer
    x = 237.24

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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.