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Finding the Fourth Proportional to 300.10, 411.55 and 287.63

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Solution

The fourth proportional to 300.10, 411.55 and 287.63 is: 394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.10 : 411.55 = 287.63 : x
  2. Step 2: Convert to fraction form
    300.10/411.55 = 287.63/x
  3. Step 3: Cross multiply
    300.10x = 411.55 × 287.63
  4. Step 4: Simplify right side
    300.10x = 118,374.13
  5. Step 5: Solve for x
    x = 118,374.13/300.10
  6. Step 6: Final answer
    x = 394.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.