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Finding the Fourth Proportional to 455.25, 628.51 and 308.10

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Solution

The fourth proportional to 455.25, 628.51 and 308.10 is: 425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.25 : 628.51 = 308.10 : x
  2. Step 2: Convert to fraction form
    455.25/628.51 = 308.10/x
  3. Step 3: Cross multiply
    455.25x = 628.51 × 308.10
  4. Step 4: Simplify right side
    455.25x = 193,643.93
  5. Step 5: Solve for x
    x = 193,643.93/455.25
  6. Step 6: Final answer
    x = 425.36

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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.