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Finding the Fourth Proportional to 406.56, 607.20 and 333.60

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Solution

The fourth proportional to 406.56, 607.20 and 333.60 is: 498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.56 : 607.20 = 333.60 : x
  2. Step 2: Convert to fraction form
    406.56/607.20 = 333.60/x
  3. Step 3: Cross multiply
    406.56x = 607.20 × 333.60
  4. Step 4: Simplify right side
    406.56x = 202,561.92
  5. Step 5: Solve for x
    x = 202,561.92/406.56
  6. Step 6: Final answer
    x = 498.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.