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Finding the Fourth Proportional to 278.07, 383.81 and 189.51

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Solution

The fourth proportional to 278.07, 383.81 and 189.51 is: 261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.07 : 383.81 = 189.51 : x
  2. Step 2: Convert to fraction form
    278.07/383.81 = 189.51/x
  3. Step 3: Cross multiply
    278.07x = 383.81 × 189.51
  4. Step 4: Simplify right side
    278.07x = 72,734.89
  5. Step 5: Solve for x
    x = 72,734.89/278.07
  6. Step 6: Final answer
    x = 261.57

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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.