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Finding the Fourth Proportional to 388, 581.91 and 193.03

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Solution

The fourth proportional to 388, 581.91 and 193.03 is: 289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388 : 581.91 = 193.03 : x
  2. Step 2: Convert to fraction form
    388/581.91 = 193.03/x
  3. Step 3: Cross multiply
    388x = 581.91 × 193.03
  4. Step 4: Simplify right side
    388x = 112,326.09
  5. Step 5: Solve for x
    x = 112,326.09/388
  6. Step 6: Final answer
    x = 289.50

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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.