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Finding the Fourth Proportional to 455.47, 628.75 and 308.19

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Solution

The fourth proportional to 455.47, 628.75 and 308.19 is: 425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.47 : 628.75 = 308.19 : x
  2. Step 2: Convert to fraction form
    455.47/628.75 = 308.19/x
  3. Step 3: Cross multiply
    455.47x = 628.75 × 308.19
  4. Step 4: Simplify right side
    455.47x = 193,774.46
  5. Step 5: Solve for x
    x = 193,774.46/455.47
  6. Step 6: Final answer
    x = 425.44

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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.