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Finding the Fourth Proportional to 419.45, 579.15 and 337.03

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Solution

The fourth proportional to 419.45, 579.15 and 337.03 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.45 : 579.15 = 337.03 : x
  2. Step 2: Convert to fraction form
    419.45/579.15 = 337.03/x
  3. Step 3: Cross multiply
    419.45x = 579.15 × 337.03
  4. Step 4: Simplify right side
    419.45x = 195,189.48
  5. Step 5: Solve for x
    x = 195,189.48/419.45
  6. Step 6: Final answer
    x = 465.35

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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.