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Finding the Fourth Proportional to 468.03, 701.93 and 138.90

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Solution

The fourth proportional to 468.03, 701.93 and 138.90 is: 208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.03 : 701.93 = 138.90 : x
  2. Step 2: Convert to fraction form
    468.03/701.93 = 138.90/x
  3. Step 3: Cross multiply
    468.03x = 701.93 × 138.90
  4. Step 4: Simplify right side
    468.03x = 97,497.38
  5. Step 5: Solve for x
    x = 97,497.38/468.03
  6. Step 6: Final answer
    x = 208.32

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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.