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Finding the Fourth Proportional to 163.58, 246.34 and 152.78

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Solution

The fourth proportional to 163.58, 246.34 and 152.78 is: 230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.58 : 246.34 = 152.78 : x
  2. Step 2: Convert to fraction form
    163.58/246.34 = 152.78/x
  3. Step 3: Cross multiply
    163.58x = 246.34 × 152.78
  4. Step 4: Simplify right side
    163.58x = 37,635.83
  5. Step 5: Solve for x
    x = 37,635.83/163.58
  6. Step 6: Final answer
    x = 230.08

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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.