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Finding the Fourth Proportional to 100.86, 150.58 and 85.33

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Solution

The fourth proportional to 100.86, 150.58 and 85.33 is: 127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.86 : 150.58 = 85.33 : x
  2. Step 2: Convert to fraction form
    100.86/150.58 = 85.33/x
  3. Step 3: Cross multiply
    100.86x = 150.58 × 85.33
  4. Step 4: Simplify right side
    100.86x = 12,848.99
  5. Step 5: Solve for x
    x = 12,848.99/100.86
  6. Step 6: Final answer
    x = 127.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.