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Finding the Fourth Proportional to 302.61, 420.45 and 299.40

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Solution

The fourth proportional to 302.61, 420.45 and 299.40 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.61 : 420.45 = 299.40 : x
  2. Step 2: Convert to fraction form
    302.61/420.45 = 299.40/x
  3. Step 3: Cross multiply
    302.61x = 420.45 × 299.40
  4. Step 4: Simplify right side
    302.61x = 125,882.73
  5. Step 5: Solve for x
    x = 125,882.73/302.61
  6. Step 6: Final answer
    x = 415.99

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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.