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Finding the Fourth Proportional to 465.14, 642.14 and 325.37

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Solution

The fourth proportional to 465.14, 642.14 and 325.37 is: 449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 642.14 = 325.37 : x
  2. Step 2: Convert to fraction form
    465.14/642.14 = 325.37/x
  3. Step 3: Cross multiply
    465.14x = 642.14 × 325.37
  4. Step 4: Simplify right side
    465.14x = 208,933.07
  5. Step 5: Solve for x
    x = 208,933.07/465.14
  6. Step 6: Final answer
    x = 449.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.