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Finding the Fourth Proportional to 480.23, 662.69 and 270.40

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Solution

The fourth proportional to 480.23, 662.69 and 270.40 is: 373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.23 : 662.69 = 270.40 : x
  2. Step 2: Convert to fraction form
    480.23/662.69 = 270.40/x
  3. Step 3: Cross multiply
    480.23x = 662.69 × 270.40
  4. Step 4: Simplify right side
    480.23x = 179,191.38
  5. Step 5: Solve for x
    x = 179,191.38/480.23
  6. Step 6: Final answer
    x = 373.14

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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.