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Finding the Fourth Proportional to 278.06, 383.00 and 261.05

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Solution

The fourth proportional to 278.06, 383.00 and 261.05 is: 359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 383.00 = 261.05 : x
  2. Step 2: Convert to fraction form
    278.06/383.00 = 261.05/x
  3. Step 3: Cross multiply
    278.06x = 383.00 × 261.05
  4. Step 4: Simplify right side
    278.06x = 99,978.93
  5. Step 5: Solve for x
    x = 99,978.93/278.06
  6. Step 6: Final answer
    x = 359.57

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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.