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Finding the Fourth Proportional to 456.30, 628.97 and 357.89

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Solution

The fourth proportional to 456.30, 628.97 and 357.89 is: 493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 628.97 = 357.89 : x
  2. Step 2: Convert to fraction form
    456.30/628.97 = 357.89/x
  3. Step 3: Cross multiply
    456.30x = 628.97 × 357.89
  4. Step 4: Simplify right side
    456.30x = 225,097.14
  5. Step 5: Solve for x
    x = 225,097.14/456.30
  6. Step 6: Final answer
    x = 493.31

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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.