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Finding the Fourth Proportional to 325.95, 486.42 and 291.35

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Solution

The fourth proportional to 325.95, 486.42 and 291.35 is: 434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.95 : 486.42 = 291.35 : x
  2. Step 2: Convert to fraction form
    325.95/486.42 = 291.35/x
  3. Step 3: Cross multiply
    325.95x = 486.42 × 291.35
  4. Step 4: Simplify right side
    325.95x = 141,716.03
  5. Step 5: Solve for x
    x = 141,716.03/325.95
  6. Step 6: Final answer
    x = 434.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.