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Finding the Fourth Proportional to 277.31, 382.70 and 152.97

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Solution

The fourth proportional to 277.31, 382.70 and 152.97 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.31 : 382.70 = 152.97 : x
  2. Step 2: Convert to fraction form
    277.31/382.70 = 152.97/x
  3. Step 3: Cross multiply
    277.31x = 382.70 × 152.97
  4. Step 4: Simplify right side
    277.31x = 58,541.81
  5. Step 5: Solve for x
    x = 58,541.81/277.31
  6. Step 6: Final answer
    x = 211.11

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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.