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Finding the Fourth Proportional to 468.20, 646.44 and 302.84

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Solution

The fourth proportional to 468.20, 646.44 and 302.84 is: 418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.20 : 646.44 = 302.84 : x
  2. Step 2: Convert to fraction form
    468.20/646.44 = 302.84/x
  3. Step 3: Cross multiply
    468.20x = 646.44 × 302.84
  4. Step 4: Simplify right side
    468.20x = 195,767.89
  5. Step 5: Solve for x
    x = 195,767.89/468.20
  6. Step 6: Final answer
    x = 418.13

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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.