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Finding the Fourth Proportional to 478.87, 661.10 and 321.75

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Solution

The fourth proportional to 478.87, 661.10 and 321.75 is: 444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.87 : 661.10 = 321.75 : x
  2. Step 2: Convert to fraction form
    478.87/661.10 = 321.75/x
  3. Step 3: Cross multiply
    478.87x = 661.10 × 321.75
  4. Step 4: Simplify right side
    478.87x = 212,707.32
  5. Step 5: Solve for x
    x = 212,707.32/478.87
  6. Step 6: Final answer
    x = 444.19

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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.