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Finding the Fourth Proportional to 419.14, 578.00 and 325.72

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Solution

The fourth proportional to 419.14, 578.00 and 325.72 is: 449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 578.00 = 325.72 : x
  2. Step 2: Convert to fraction form
    419.14/578.00 = 325.72/x
  3. Step 3: Cross multiply
    419.14x = 578.00 × 325.72
  4. Step 4: Simplify right side
    419.14x = 188,261.64
  5. Step 5: Solve for x
    x = 188,261.64/419.14
  6. Step 6: Final answer
    x = 449.17

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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.