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Finding the Fourth Proportional to 277, 414.88 and 154.99

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Solution

The fourth proportional to 277, 414.88 and 154.99 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277 : 414.88 = 154.99 : x
  2. Step 2: Convert to fraction form
    277/414.88 = 154.99/x
  3. Step 3: Cross multiply
    277x = 414.88 × 154.99
  4. Step 4: Simplify right side
    277x = 64,302.25
  5. Step 5: Solve for x
    x = 64,302.25/277
  6. Step 6: Final answer
    x = 232.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.