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Finding the Fourth Proportional to 419.48, 578.64 and 321.06

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Solution

The fourth proportional to 419.48, 578.64 and 321.06 is: 442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 578.64 = 321.06 : x
  2. Step 2: Convert to fraction form
    419.48/578.64 = 321.06/x
  3. Step 3: Cross multiply
    419.48x = 578.64 × 321.06
  4. Step 4: Simplify right side
    419.48x = 185,778.16
  5. Step 5: Solve for x
    x = 185,778.16/419.48
  6. Step 6: Final answer
    x = 442.88

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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.