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Finding the Fourth Proportional to 290.58, 402.68 and 285.10

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Solution

The fourth proportional to 290.58, 402.68 and 285.10 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.58 : 402.68 = 285.10 : x
  2. Step 2: Convert to fraction form
    290.58/402.68 = 285.10/x
  3. Step 3: Cross multiply
    290.58x = 402.68 × 285.10
  4. Step 4: Simplify right side
    290.58x = 114,804.07
  5. Step 5: Solve for x
    x = 114,804.07/290.58
  6. Step 6: Final answer
    x = 395.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.