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Finding the Fourth Proportional to 290.46, 400.50 and 265.89

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Solution

The fourth proportional to 290.46, 400.50 and 265.89 is: 366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 400.50 = 265.89 : x
  2. Step 2: Convert to fraction form
    290.46/400.50 = 265.89/x
  3. Step 3: Cross multiply
    290.46x = 400.50 × 265.89
  4. Step 4: Simplify right side
    290.46x = 106,488.95
  5. Step 5: Solve for x
    x = 106,488.95/290.46
  6. Step 6: Final answer
    x = 366.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.