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Finding the Fourth Proportional to 401.98, 554.57 and 284.13

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Solution

The fourth proportional to 401.98, 554.57 and 284.13 is: 391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.98 : 554.57 = 284.13 : x
  2. Step 2: Convert to fraction form
    401.98/554.57 = 284.13/x
  3. Step 3: Cross multiply
    401.98x = 554.57 × 284.13
  4. Step 4: Simplify right side
    401.98x = 157,569.97
  5. Step 5: Solve for x
    x = 157,569.97/401.98
  6. Step 6: Final answer
    x = 391.98

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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.