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Finding the Fourth Proportional to 163.02, 245.36 and 148.88

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Solution

The fourth proportional to 163.02, 245.36 and 148.88 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 245.36 = 148.88 : x
  2. Step 2: Convert to fraction form
    163.02/245.36 = 148.88/x
  3. Step 3: Cross multiply
    163.02x = 245.36 × 148.88
  4. Step 4: Simplify right side
    163.02x = 36,529.20
  5. Step 5: Solve for x
    x = 36,529.20/163.02
  6. Step 6: Final answer
    x = 224.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.