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Finding the Fourth Proportional to 293.67, 407.12 and 278.07

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Solution

The fourth proportional to 293.67, 407.12 and 278.07 is: 385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.67 : 407.12 = 278.07 : x
  2. Step 2: Convert to fraction form
    293.67/407.12 = 278.07/x
  3. Step 3: Cross multiply
    293.67x = 407.12 × 278.07
  4. Step 4: Simplify right side
    293.67x = 113,207.03
  5. Step 5: Solve for x
    x = 113,207.03/293.67
  6. Step 6: Final answer
    x = 385.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.