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Finding the Fourth Proportional to 380.09, 569.77 and 197.51

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Solution

The fourth proportional to 380.09, 569.77 and 197.51 is: 296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 569.77 = 197.51 : x
  2. Step 2: Convert to fraction form
    380.09/569.77 = 197.51/x
  3. Step 3: Cross multiply
    380.09x = 569.77 × 197.51
  4. Step 4: Simplify right side
    380.09x = 112,531.93
  5. Step 5: Solve for x
    x = 112,531.93/380.09
  6. Step 6: Final answer
    x = 296.06

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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.