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Finding the Fourth Proportional to 468.46, 646.32 and 282.02

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Solution

The fourth proportional to 468.46, 646.32 and 282.02 is: 389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.46 : 646.32 = 282.02 : x
  2. Step 2: Convert to fraction form
    468.46/646.32 = 282.02/x
  3. Step 3: Cross multiply
    468.46x = 646.32 × 282.02
  4. Step 4: Simplify right side
    468.46x = 182,270.52
  5. Step 5: Solve for x
    x = 182,270.52/468.46
  6. Step 6: Final answer
    x = 389.09

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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.