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Finding the Fourth Proportional to 278.22, 383.98 and 167.74

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Solution

The fourth proportional to 278.22, 383.98 and 167.74 is: 231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 383.98 = 167.74 : x
  2. Step 2: Convert to fraction form
    278.22/383.98 = 167.74/x
  3. Step 3: Cross multiply
    278.22x = 383.98 × 167.74
  4. Step 4: Simplify right side
    278.22x = 64,408.81
  5. Step 5: Solve for x
    x = 64,408.81/278.22
  6. Step 6: Final answer
    x = 231.50

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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.