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Finding the Fourth Proportional to 155.75, 216.43 and 154.07

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Solution

The fourth proportional to 155.75, 216.43 and 154.07 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.75 : 216.43 = 154.07 : x
  2. Step 2: Convert to fraction form
    155.75/216.43 = 154.07/x
  3. Step 3: Cross multiply
    155.75x = 216.43 × 154.07
  4. Step 4: Simplify right side
    155.75x = 33,343.90
  5. Step 5: Solve for x
    x = 33,343.90/155.75
  6. Step 6: Final answer
    x = 214.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.