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Finding the Fourth Proportional to 468.59, 646.62 and 281.96

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Solution

The fourth proportional to 468.59, 646.62 and 281.96 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 646.62 = 281.96 : x
  2. Step 2: Convert to fraction form
    468.59/646.62 = 281.96/x
  3. Step 3: Cross multiply
    468.59x = 646.62 × 281.96
  4. Step 4: Simplify right side
    468.59x = 182,317.74
  5. Step 5: Solve for x
    x = 182,317.74/468.59
  6. Step 6: Final answer
    x = 389.08

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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.