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Finding the Fourth Proportional to 302.74, 417.56 and 219.70

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Solution

The fourth proportional to 302.74, 417.56 and 219.70 is: 303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 417.56 = 219.70 : x
  2. Step 2: Convert to fraction form
    302.74/417.56 = 219.70/x
  3. Step 3: Cross multiply
    302.74x = 417.56 × 219.70
  4. Step 4: Simplify right side
    302.74x = 91,737.93
  5. Step 5: Solve for x
    x = 91,737.93/302.74
  6. Step 6: Final answer
    x = 303.03

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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.