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Finding the Fourth Proportional to 290.04, 397.92 and 282.84

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Solution

The fourth proportional to 290.04, 397.92 and 282.84 is: 388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.04 : 397.92 = 282.84 : x
  2. Step 2: Convert to fraction form
    290.04/397.92 = 282.84/x
  3. Step 3: Cross multiply
    290.04x = 397.92 × 282.84
  4. Step 4: Simplify right side
    290.04x = 112,547.69
  5. Step 5: Solve for x
    x = 112,547.69/290.04
  6. Step 6: Final answer
    x = 388.04

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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.