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Finding the Fourth Proportional to 601.33, 901.98 and 190.45

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Solution

The fourth proportional to 601.33, 901.98 and 190.45 is: 285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.33 : 901.98 = 190.45 : x
  2. Step 2: Convert to fraction form
    601.33/901.98 = 190.45/x
  3. Step 3: Cross multiply
    601.33x = 901.98 × 190.45
  4. Step 4: Simplify right side
    601.33x = 171,782.09
  5. Step 5: Solve for x
    x = 171,782.09/601.33
  6. Step 6: Final answer
    x = 285.67

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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.