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Finding the Fourth Proportional to 155.43, 214.49 and 89.05

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Solution

The fourth proportional to 155.43, 214.49 and 89.05 is: 122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.43 : 214.49 = 89.05 : x
  2. Step 2: Convert to fraction form
    155.43/214.49 = 89.05/x
  3. Step 3: Cross multiply
    155.43x = 214.49 × 89.05
  4. Step 4: Simplify right side
    155.43x = 19,100.66
  5. Step 5: Solve for x
    x = 19,100.66/155.43
  6. Step 6: Final answer
    x = 122.89

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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.