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Finding the Fourth Proportional to 290.60, 436.55 and 275.03

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Solution

The fourth proportional to 290.60, 436.55 and 275.03 is: 413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.60 : 436.55 = 275.03 : x
  2. Step 2: Convert to fraction form
    290.60/436.55 = 275.03/x
  3. Step 3: Cross multiply
    290.60x = 436.55 × 275.03
  4. Step 4: Simplify right side
    290.60x = 120,060.79
  5. Step 5: Solve for x
    x = 120,060.79/290.60
  6. Step 6: Final answer
    x = 413.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.