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Finding the Fourth Proportional to 384.09, 575.65 and 191.77

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Solution

The fourth proportional to 384.09, 575.65 and 191.77 is: 287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.09 : 575.65 = 191.77 : x
  2. Step 2: Convert to fraction form
    384.09/575.65 = 191.77/x
  3. Step 3: Cross multiply
    384.09x = 575.65 × 191.77
  4. Step 4: Simplify right side
    384.09x = 110,392.40
  5. Step 5: Solve for x
    x = 110,392.40/384.09
  6. Step 6: Final answer
    x = 287.41

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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.