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Finding the Fourth Proportional to 480.08, 662.28 and 314.22

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Solution

The fourth proportional to 480.08, 662.28 and 314.22 is: 433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.08 : 662.28 = 314.22 : x
  2. Step 2: Convert to fraction form
    480.08/662.28 = 314.22/x
  3. Step 3: Cross multiply
    480.08x = 662.28 × 314.22
  4. Step 4: Simplify right side
    480.08x = 208,101.62
  5. Step 5: Solve for x
    x = 208,101.62/480.08
  6. Step 6: Final answer
    x = 433.47

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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.