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Finding the Fourth Proportional to 302.30, 420.05 and 298.42

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Solution

The fourth proportional to 302.30, 420.05 and 298.42 is: 414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.30 : 420.05 = 298.42 : x
  2. Step 2: Convert to fraction form
    302.30/420.05 = 298.42/x
  3. Step 3: Cross multiply
    302.30x = 420.05 × 298.42
  4. Step 4: Simplify right side
    302.30x = 125,351.02
  5. Step 5: Solve for x
    x = 125,351.02/302.30
  6. Step 6: Final answer
    x = 414.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.