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Finding the Fourth Proportional to 419.18, 577.60 and 308.48

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Solution

The fourth proportional to 419.18, 577.60 and 308.48 is: 425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.18 : 577.60 = 308.48 : x
  2. Step 2: Convert to fraction form
    419.18/577.60 = 308.48/x
  3. Step 3: Cross multiply
    419.18x = 577.60 × 308.48
  4. Step 4: Simplify right side
    419.18x = 178,174.39
  5. Step 5: Solve for x
    x = 178,174.39/419.18
  6. Step 6: Final answer
    x = 425.06

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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.