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Finding the Fourth Proportional to 163.02, 225.08 and 100.93

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Solution

The fourth proportional to 163.02, 225.08 and 100.93 is: 139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 225.08 = 100.93 : x
  2. Step 2: Convert to fraction form
    163.02/225.08 = 100.93/x
  3. Step 3: Cross multiply
    163.02x = 225.08 × 100.93
  4. Step 4: Simplify right side
    163.02x = 22,717.32
  5. Step 5: Solve for x
    x = 22,717.32/163.02
  6. Step 6: Final answer
    x = 139.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.