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Finding the Fourth Proportional to 154.80, 214.89 and 145.08

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Solution

The fourth proportional to 154.80, 214.89 and 145.08 is: 201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 214.89 = 145.08 : x
  2. Step 2: Convert to fraction form
    154.80/214.89 = 145.08/x
  3. Step 3: Cross multiply
    154.80x = 214.89 × 145.08
  4. Step 4: Simplify right side
    154.80x = 31,176.24
  5. Step 5: Solve for x
    x = 31,176.24/154.80
  6. Step 6: Final answer
    x = 201.40

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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.