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Finding the Fourth Proportional to 109.34, 164.58 and 99.92

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Solution

The fourth proportional to 109.34, 164.58 and 99.92 is: 150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.34 : 164.58 = 99.92 : x
  2. Step 2: Convert to fraction form
    109.34/164.58 = 99.92/x
  3. Step 3: Cross multiply
    109.34x = 164.58 × 99.92
  4. Step 4: Simplify right side
    109.34x = 16,444.83
  5. Step 5: Solve for x
    x = 16,444.83/109.34
  6. Step 6: Final answer
    x = 150.40

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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.