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Finding the Fourth Proportional to 228.93, 342.89 and 146.67

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Solution

The fourth proportional to 228.93, 342.89 and 146.67 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.93 : 342.89 = 146.67 : x
  2. Step 2: Convert to fraction form
    228.93/342.89 = 146.67/x
  3. Step 3: Cross multiply
    228.93x = 342.89 × 146.67
  4. Step 4: Simplify right side
    228.93x = 50,290.94
  5. Step 5: Solve for x
    x = 50,290.94/228.93
  6. Step 6: Final answer
    x = 219.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.