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Finding the Fourth Proportional to 154.80, 214.74 and 145.80

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Solution

The fourth proportional to 154.80, 214.74 and 145.80 is: 202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 214.74 = 145.80 : x
  2. Step 2: Convert to fraction form
    154.80/214.74 = 145.80/x
  3. Step 3: Cross multiply
    154.80x = 214.74 × 145.80
  4. Step 4: Simplify right side
    154.80x = 31,309.09
  5. Step 5: Solve for x
    x = 31,309.09/154.80
  6. Step 6: Final answer
    x = 202.26

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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.