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Finding the Fourth Proportional to 290.79, 436.93 and 153.92

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Solution

The fourth proportional to 290.79, 436.93 and 153.92 is: 231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.79 : 436.93 = 153.92 : x
  2. Step 2: Convert to fraction form
    290.79/436.93 = 153.92/x
  3. Step 3: Cross multiply
    290.79x = 436.93 × 153.92
  4. Step 4: Simplify right side
    290.79x = 67,252.97
  5. Step 5: Solve for x
    x = 67,252.97/290.79
  6. Step 6: Final answer
    x = 231.28

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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.