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Finding the Fourth Proportional to 325.95, 491.12 and 295.14

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Solution

The fourth proportional to 325.95, 491.12 and 295.14 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.95 : 491.12 = 295.14 : x
  2. Step 2: Convert to fraction form
    325.95/491.12 = 295.14/x
  3. Step 3: Cross multiply
    325.95x = 491.12 × 295.14
  4. Step 4: Simplify right side
    325.95x = 144,949.16
  5. Step 5: Solve for x
    x = 144,949.16/325.95
  6. Step 6: Final answer
    x = 444.70

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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.