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Finding the Fourth Proportional to 480.12, 662.58 and 340.20

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Solution

The fourth proportional to 480.12, 662.58 and 340.20 is: 469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.12 : 662.58 = 340.20 : x
  2. Step 2: Convert to fraction form
    480.12/662.58 = 340.20/x
  3. Step 3: Cross multiply
    480.12x = 662.58 × 340.20
  4. Step 4: Simplify right side
    480.12x = 225,409.72
  5. Step 5: Solve for x
    x = 225,409.72/480.12
  6. Step 6: Final answer
    x = 469.49

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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.