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Finding the Fourth Proportional to 466.99, 700.49 and 142.36

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Solution

The fourth proportional to 466.99, 700.49 and 142.36 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.99 : 700.49 = 142.36 : x
  2. Step 2: Convert to fraction form
    466.99/700.49 = 142.36/x
  3. Step 3: Cross multiply
    466.99x = 700.49 × 142.36
  4. Step 4: Simplify right side
    466.99x = 99,721.76
  5. Step 5: Solve for x
    x = 99,721.76/466.99
  6. Step 6: Final answer
    x = 213.54

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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.