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Finding the Fourth Proportional to 219.40, 302.39 and 145.59

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Solution

The fourth proportional to 219.40, 302.39 and 145.59 is: 200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.40 : 302.39 = 145.59 : x
  2. Step 2: Convert to fraction form
    219.40/302.39 = 145.59/x
  3. Step 3: Cross multiply
    219.40x = 302.39 × 145.59
  4. Step 4: Simplify right side
    219.40x = 44,023.81
  5. Step 5: Solve for x
    x = 44,023.81/219.40
  6. Step 6: Final answer
    x = 200.66

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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.