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Finding the Fourth Proportional to 277.60, 383.06 and 153.26

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Solution

The fourth proportional to 277.60, 383.06 and 153.26 is: 211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 383.06 = 153.26 : x
  2. Step 2: Convert to fraction form
    277.60/383.06 = 153.26/x
  3. Step 3: Cross multiply
    277.60x = 383.06 × 153.26
  4. Step 4: Simplify right side
    277.60x = 58,707.97
  5. Step 5: Solve for x
    x = 58,707.97/277.60
  6. Step 6: Final answer
    x = 211.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.