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Finding the Fourth Proportional to 419.10, 577.95 and 330.54

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Solution

The fourth proportional to 419.10, 577.95 and 330.54 is: 455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 577.95 = 330.54 : x
  2. Step 2: Convert to fraction form
    419.10/577.95 = 330.54/x
  3. Step 3: Cross multiply
    419.10x = 577.95 × 330.54
  4. Step 4: Simplify right side
    419.10x = 191,035.59
  5. Step 5: Solve for x
    x = 191,035.59/419.10
  6. Step 6: Final answer
    x = 455.82

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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.