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Finding the Fourth Proportional to 145.53, 216.74 and 143.27

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Solution

The fourth proportional to 145.53, 216.74 and 143.27 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.53 : 216.74 = 143.27 : x
  2. Step 2: Convert to fraction form
    145.53/216.74 = 143.27/x
  3. Step 3: Cross multiply
    145.53x = 216.74 × 143.27
  4. Step 4: Simplify right side
    145.53x = 31,052.43
  5. Step 5: Solve for x
    x = 31,052.43/145.53
  6. Step 6: Final answer
    x = 213.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.