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Finding the Fourth Proportional to 376.16, 563.92 and 148

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Solution

The fourth proportional to 376.16, 563.92 and 148 is: 221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.16 : 563.92 = 148 : x
  2. Step 2: Convert to fraction form
    376.16/563.92 = 148/x
  3. Step 3: Cross multiply
    376.16x = 563.92 × 148
  4. Step 4: Simplify right side
    376.16x = 83,460.16
  5. Step 5: Solve for x
    x = 83,460.16/376.16
  6. Step 6: Final answer
    x = 221.87

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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.