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Finding the Fourth Proportional to 352.83, 531.54 and 322.76

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Solution

The fourth proportional to 352.83, 531.54 and 322.76 is: 486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.83 : 531.54 = 322.76 : x
  2. Step 2: Convert to fraction form
    352.83/531.54 = 322.76/x
  3. Step 3: Cross multiply
    352.83x = 531.54 × 322.76
  4. Step 4: Simplify right side
    352.83x = 171,559.85
  5. Step 5: Solve for x
    x = 171,559.85/352.83
  6. Step 6: Final answer
    x = 486.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.