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Finding the Fourth Proportional to 401.96, 554.94 and 277.58

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Solution

The fourth proportional to 401.96, 554.94 and 277.58 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.96 : 554.94 = 277.58 : x
  2. Step 2: Convert to fraction form
    401.96/554.94 = 277.58/x
  3. Step 3: Cross multiply
    401.96x = 554.94 × 277.58
  4. Step 4: Simplify right side
    401.96x = 154,040.25
  5. Step 5: Solve for x
    x = 154,040.25/401.96
  6. Step 6: Final answer
    x = 383.22

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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.