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Finding the Fourth Proportional to 219.00, 302.16 and 145.43

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Solution

The fourth proportional to 219.00, 302.16 and 145.43 is: 200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.00 : 302.16 = 145.43 : x
  2. Step 2: Convert to fraction form
    219.00/302.16 = 145.43/x
  3. Step 3: Cross multiply
    219.00x = 302.16 × 145.43
  4. Step 4: Simplify right side
    219.00x = 43,943.30
  5. Step 5: Solve for x
    x = 43,943.30/219.00
  6. Step 6: Final answer
    x = 200.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.