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Finding the Fourth Proportional to 466.72, 699.87 and 142.01

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Solution

The fourth proportional to 466.72, 699.87 and 142.01 is: 212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.72 : 699.87 = 142.01 : x
  2. Step 2: Convert to fraction form
    466.72/699.87 = 142.01/x
  3. Step 3: Cross multiply
    466.72x = 699.87 × 142.01
  4. Step 4: Simplify right side
    466.72x = 99,390.16
  5. Step 5: Solve for x
    x = 99,390.16/466.72
  6. Step 6: Final answer
    x = 212.95

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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.