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Finding the Fourth Proportional to 290.19, 435.15 and 153.12

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Solution

The fourth proportional to 290.19, 435.15 and 153.12 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.19 : 435.15 = 153.12 : x
  2. Step 2: Convert to fraction form
    290.19/435.15 = 153.12/x
  3. Step 3: Cross multiply
    290.19x = 435.15 × 153.12
  4. Step 4: Simplify right side
    290.19x = 66,630.17
  5. Step 5: Solve for x
    x = 66,630.17/290.19
  6. Step 6: Final answer
    x = 229.61

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