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Finding the Fourth Proportional to 406.15, 607.86 and 300.04

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Solution

The fourth proportional to 406.15, 607.86 and 300.04 is: 449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.15 : 607.86 = 300.04 : x
  2. Step 2: Convert to fraction form
    406.15/607.86 = 300.04/x
  3. Step 3: Cross multiply
    406.15x = 607.86 × 300.04
  4. Step 4: Simplify right side
    406.15x = 182,382.31
  5. Step 5: Solve for x
    x = 182,382.31/406.15
  6. Step 6: Final answer
    x = 449.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.