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Finding the Fourth Proportional to 401.40, 554.00 and 290.84

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Solution

The fourth proportional to 401.40, 554.00 and 290.84 is: 401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.40 : 554.00 = 290.84 : x
  2. Step 2: Convert to fraction form
    401.40/554.00 = 290.84/x
  3. Step 3: Cross multiply
    401.40x = 554.00 × 290.84
  4. Step 4: Simplify right side
    401.40x = 161,121.14
  5. Step 5: Solve for x
    x = 161,121.14/401.40
  6. Step 6: Final answer
    x = 401.40

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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.