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Finding the Fourth Proportional to 468.51, 646.80 and 282.04

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Solution

The fourth proportional to 468.51, 646.80 and 282.04 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.51 : 646.80 = 282.04 : x
  2. Step 2: Convert to fraction form
    468.51/646.80 = 282.04/x
  3. Step 3: Cross multiply
    468.51x = 646.80 × 282.04
  4. Step 4: Simplify right side
    468.51x = 182,423.47
  5. Step 5: Solve for x
    x = 182,423.47/468.51
  6. Step 6: Final answer
    x = 389.37

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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.