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Finding the Fourth Proportional to 401.63, 600.82 and 291.26

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Solution

The fourth proportional to 401.63, 600.82 and 291.26 is: 435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 600.82 = 291.26 : x
  2. Step 2: Convert to fraction form
    401.63/600.82 = 291.26/x
  3. Step 3: Cross multiply
    401.63x = 600.82 × 291.26
  4. Step 4: Simplify right side
    401.63x = 174,995.61
  5. Step 5: Solve for x
    x = 174,995.61/401.63
  6. Step 6: Final answer
    x = 435.72

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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.