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Finding the Fourth Proportional to 480.25, 662.61 and 293.55

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Solution

The fourth proportional to 480.25, 662.61 and 293.55 is: 405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.25 : 662.61 = 293.55 : x
  2. Step 2: Convert to fraction form
    480.25/662.61 = 293.55/x
  3. Step 3: Cross multiply
    480.25x = 662.61 × 293.55
  4. Step 4: Simplify right side
    480.25x = 194,509.17
  5. Step 5: Solve for x
    x = 194,509.17/480.25
  6. Step 6: Final answer
    x = 405.02

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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.