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Finding the Fourth Proportional to 468.72, 646.76 and 282.20

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Solution

The fourth proportional to 468.72, 646.76 and 282.20 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.72 : 646.76 = 282.20 : x
  2. Step 2: Convert to fraction form
    468.72/646.76 = 282.20/x
  3. Step 3: Cross multiply
    468.72x = 646.76 × 282.20
  4. Step 4: Simplify right side
    468.72x = 182,513.14
  5. Step 5: Solve for x
    x = 182,513.14/468.72
  6. Step 6: Final answer
    x = 389.39

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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.