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Finding the Fourth Proportional to 456.88, 630.48 and 282.28

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Solution

The fourth proportional to 456.88, 630.48 and 282.28 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.88 : 630.48 = 282.28 : x
  2. Step 2: Convert to fraction form
    456.88/630.48 = 282.28/x
  3. Step 3: Cross multiply
    456.88x = 630.48 × 282.28
  4. Step 4: Simplify right side
    456.88x = 177,971.89
  5. Step 5: Solve for x
    x = 177,971.89/456.88
  6. Step 6: Final answer
    x = 389.54

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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.