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Finding the Fourth Proportional to 314.85, 472.73 and 193.67

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Solution

The fourth proportional to 314.85, 472.73 and 193.67 is: 290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.85 : 472.73 = 193.67 : x
  2. Step 2: Convert to fraction form
    314.85/472.73 = 193.67/x
  3. Step 3: Cross multiply
    314.85x = 472.73 × 193.67
  4. Step 4: Simplify right side
    314.85x = 91,550.29
  5. Step 5: Solve for x
    x = 91,550.29/314.85
  6. Step 6: Final answer
    x = 290.77

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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.