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Finding the Fourth Proportional to 455.81, 628.92 and 264.14

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Solution

The fourth proportional to 455.81, 628.92 and 264.14 is: 364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.81 : 628.92 = 264.14 : x
  2. Step 2: Convert to fraction form
    455.81/628.92 = 264.14/x
  3. Step 3: Cross multiply
    455.81x = 628.92 × 264.14
  4. Step 4: Simplify right side
    455.81x = 166,122.93
  5. Step 5: Solve for x
    x = 166,122.93/455.81
  6. Step 6: Final answer
    x = 364.46

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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.