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Finding the Fourth Proportional to 419.14, 577.78 and 330.47

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Solution

The fourth proportional to 419.14, 577.78 and 330.47 is: 455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 577.78 = 330.47 : x
  2. Step 2: Convert to fraction form
    419.14/577.78 = 330.47/x
  3. Step 3: Cross multiply
    419.14x = 577.78 × 330.47
  4. Step 4: Simplify right side
    419.14x = 190,935.24
  5. Step 5: Solve for x
    x = 190,935.24/419.14
  6. Step 6: Final answer
    x = 455.54

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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.