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Finding the Fourth Proportional to 278.67, 386.60 and 265.30

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Solution

The fourth proportional to 278.67, 386.60 and 265.30 is: 368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 386.60 = 265.30 : x
  2. Step 2: Convert to fraction form
    278.67/386.60 = 265.30/x
  3. Step 3: Cross multiply
    278.67x = 386.60 × 265.30
  4. Step 4: Simplify right side
    278.67x = 102,564.98
  5. Step 5: Solve for x
    x = 102,564.98/278.67
  6. Step 6: Final answer
    x = 368.05

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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.