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Finding the Fourth Proportional to 303.84, 419.40 and 287.64

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Solution

The fourth proportional to 303.84, 419.40 and 287.64 is: 397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.84 : 419.40 = 287.64 : x
  2. Step 2: Convert to fraction form
    303.84/419.40 = 287.64/x
  3. Step 3: Cross multiply
    303.84x = 419.40 × 287.64
  4. Step 4: Simplify right side
    303.84x = 120,636.22
  5. Step 5: Solve for x
    x = 120,636.22/303.84
  6. Step 6: Final answer
    x = 397.04

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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.