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Finding the Fourth Proportional to 108.86, 150.29 and 106.00

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Solution

The fourth proportional to 108.86, 150.29 and 106.00 is: 146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.86 : 150.29 = 106.00 : x
  2. Step 2: Convert to fraction form
    108.86/150.29 = 106.00/x
  3. Step 3: Cross multiply
    108.86x = 150.29 × 106.00
  4. Step 4: Simplify right side
    108.86x = 15,929.46
  5. Step 5: Solve for x
    x = 15,929.46/108.86
  6. Step 6: Final answer
    x = 146.33

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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.