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Finding the Fourth Proportional to 314.06, 468.93 and 255.62

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Solution

The fourth proportional to 314.06, 468.93 and 255.62 is: 381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.06 : 468.93 = 255.62 : x
  2. Step 2: Convert to fraction form
    314.06/468.93 = 255.62/x
  3. Step 3: Cross multiply
    314.06x = 468.93 × 255.62
  4. Step 4: Simplify right side
    314.06x = 119,865.54
  5. Step 5: Solve for x
    x = 119,865.54/314.06
  6. Step 6: Final answer
    x = 381.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.