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Finding the Fourth Proportional to 290.07, 397.65 and 284.84

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Solution

The fourth proportional to 290.07, 397.65 and 284.84 is: 390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.07 : 397.65 = 284.84 : x
  2. Step 2: Convert to fraction form
    290.07/397.65 = 284.84/x
  3. Step 3: Cross multiply
    290.07x = 397.65 × 284.84
  4. Step 4: Simplify right side
    290.07x = 113,266.63
  5. Step 5: Solve for x
    x = 113,266.63/290.07
  6. Step 6: Final answer
    x = 390.48

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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.