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Finding the Fourth Proportional to 455.16, 681.80 and 338.25

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Solution

The fourth proportional to 455.16, 681.80 and 338.25 is: 506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 681.80 = 338.25 : x
  2. Step 2: Convert to fraction form
    455.16/681.80 = 338.25/x
  3. Step 3: Cross multiply
    455.16x = 681.80 × 338.25
  4. Step 4: Simplify right side
    455.16x = 230,617.16
  5. Step 5: Solve for x
    x = 230,617.16/455.16
  6. Step 6: Final answer
    x = 506.67

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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.