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Finding the Fourth Proportional to 456.78, 630.38 and 282.12

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Solution

The fourth proportional to 456.78, 630.38 and 282.12 is: 389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.78 : 630.38 = 282.12 : x
  2. Step 2: Convert to fraction form
    456.78/630.38 = 282.12/x
  3. Step 3: Cross multiply
    456.78x = 630.38 × 282.12
  4. Step 4: Simplify right side
    456.78x = 177,842.81
  5. Step 5: Solve for x
    x = 177,842.81/456.78
  6. Step 6: Final answer
    x = 389.34

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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.