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Finding the Fourth Proportional to 371.14, 554.11 and 284.00

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Solution

The fourth proportional to 371.14, 554.11 and 284.00 is: 424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.14 : 554.11 = 284.00 : x
  2. Step 2: Convert to fraction form
    371.14/554.11 = 284.00/x
  3. Step 3: Cross multiply
    371.14x = 554.11 × 284.00
  4. Step 4: Simplify right side
    371.14x = 157,363.76
  5. Step 5: Solve for x
    x = 157,363.76/371.14
  6. Step 6: Final answer
    x = 424.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.