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Finding the Fourth Proportional to 380.25, 569.83 and 302.86

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Solution

The fourth proportional to 380.25, 569.83 and 302.86 is: 453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 569.83 = 302.86 : x
  2. Step 2: Convert to fraction form
    380.25/569.83 = 302.86/x
  3. Step 3: Cross multiply
    380.25x = 569.83 × 302.86
  4. Step 4: Simplify right side
    380.25x = 172,578.71
  5. Step 5: Solve for x
    x = 172,578.71/380.25
  6. Step 6: Final answer
    x = 453.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.