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Finding the Fourth Proportional to 355.04, 531.74 and 296.21

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Solution

The fourth proportional to 355.04, 531.74 and 296.21 is: 443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.04 : 531.74 = 296.21 : x
  2. Step 2: Convert to fraction form
    355.04/531.74 = 296.21/x
  3. Step 3: Cross multiply
    355.04x = 531.74 × 296.21
  4. Step 4: Simplify right side
    355.04x = 157,508.78
  5. Step 5: Solve for x
    x = 157,508.78/355.04
  6. Step 6: Final answer
    x = 443.64

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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.