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Finding the Fourth Proportional to 155.41, 214.51 and 109.03

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Solution

The fourth proportional to 155.41, 214.51 and 109.03 is: 150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.41 : 214.51 = 109.03 : x
  2. Step 2: Convert to fraction form
    155.41/214.51 = 109.03/x
  3. Step 3: Cross multiply
    155.41x = 214.51 × 109.03
  4. Step 4: Simplify right side
    155.41x = 23,388.03
  5. Step 5: Solve for x
    x = 23,388.03/155.41
  6. Step 6: Final answer
    x = 150.49

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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.