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Finding the Fourth Proportional to 478.94, 661.18 and 337.36

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Solution

The fourth proportional to 478.94, 661.18 and 337.36 is: 465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.94 : 661.18 = 337.36 : x
  2. Step 2: Convert to fraction form
    478.94/661.18 = 337.36/x
  3. Step 3: Cross multiply
    478.94x = 661.18 × 337.36
  4. Step 4: Simplify right side
    478.94x = 223,055.68
  5. Step 5: Solve for x
    x = 223,055.68/478.94
  6. Step 6: Final answer
    x = 465.73

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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.