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Finding the Fourth Proportional to 281.84, 386.50 and 277.52

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Solution

The fourth proportional to 281.84, 386.50 and 277.52 is: 380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.84 : 386.50 = 277.52 : x
  2. Step 2: Convert to fraction form
    281.84/386.50 = 277.52/x
  3. Step 3: Cross multiply
    281.84x = 386.50 × 277.52
  4. Step 4: Simplify right side
    281.84x = 107,261.48
  5. Step 5: Solve for x
    x = 107,261.48/281.84
  6. Step 6: Final answer
    x = 380.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.