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Finding the Fourth Proportional to 290.84, 437.06 and 153.96

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Solution

The fourth proportional to 290.84, 437.06 and 153.96 is: 231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.84 : 437.06 = 153.96 : x
  2. Step 2: Convert to fraction form
    290.84/437.06 = 153.96/x
  3. Step 3: Cross multiply
    290.84x = 437.06 × 153.96
  4. Step 4: Simplify right side
    290.84x = 67,289.76
  5. Step 5: Solve for x
    x = 67,289.76/290.84
  6. Step 6: Final answer
    x = 231.36

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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.