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Finding the Fourth Proportional to 219.40, 302.53 and 214.39

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Solution

The fourth proportional to 219.40, 302.53 and 214.39 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.40 : 302.53 = 214.39 : x
  2. Step 2: Convert to fraction form
    219.40/302.53 = 214.39/x
  3. Step 3: Cross multiply
    219.40x = 302.53 × 214.39
  4. Step 4: Simplify right side
    219.40x = 64,859.41
  5. Step 5: Solve for x
    x = 64,859.41/219.40
  6. Step 6: Final answer
    x = 295.62

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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.