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Finding the Fourth Proportional to 368.10, 552.03 and 148.67

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Solution

The fourth proportional to 368.10, 552.03 and 148.67 is: 222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.10 : 552.03 = 148.67 : x
  2. Step 2: Convert to fraction form
    368.10/552.03 = 148.67/x
  3. Step 3: Cross multiply
    368.10x = 552.03 × 148.67
  4. Step 4: Simplify right side
    368.10x = 82,069.05
  5. Step 5: Solve for x
    x = 82,069.05/368.10
  6. Step 6: Final answer
    x = 222.95

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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.