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Finding the Fourth Proportional to 468.45, 702.78 and 143.81

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Solution

The fourth proportional to 468.45, 702.78 and 143.81 is: 215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.45 : 702.78 = 143.81 : x
  2. Step 2: Convert to fraction form
    468.45/702.78 = 143.81/x
  3. Step 3: Cross multiply
    468.45x = 702.78 × 143.81
  4. Step 4: Simplify right side
    468.45x = 101,069.09
  5. Step 5: Solve for x
    x = 101,069.09/468.45
  6. Step 6: Final answer
    x = 215.75

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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.