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Finding the Fourth Proportional to 287.33, 433.34 and 278.09

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Solution

The fourth proportional to 287.33, 433.34 and 278.09 is: 419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.33 : 433.34 = 278.09 : x
  2. Step 2: Convert to fraction form
    287.33/433.34 = 278.09/x
  3. Step 3: Cross multiply
    287.33x = 433.34 × 278.09
  4. Step 4: Simplify right side
    287.33x = 120,503.96
  5. Step 5: Solve for x
    x = 120,503.96/287.33
  6. Step 6: Final answer
    x = 419.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.