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Finding the Fourth Proportional to 277.91, 416.85 and 102.21

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Solution

The fourth proportional to 277.91, 416.85 and 102.21 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.91 : 416.85 = 102.21 : x
  2. Step 2: Convert to fraction form
    277.91/416.85 = 102.21/x
  3. Step 3: Cross multiply
    277.91x = 416.85 × 102.21
  4. Step 4: Simplify right side
    277.91x = 42,606.64
  5. Step 5: Solve for x
    x = 42,606.64/277.91
  6. Step 6: Final answer
    x = 153.31

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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.