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Finding the Fourth Proportional to 302.54, 420.31 and 299.58

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Solution

The fourth proportional to 302.54, 420.31 and 299.58 is: 416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 420.31 = 299.58 : x
  2. Step 2: Convert to fraction form
    302.54/420.31 = 299.58/x
  3. Step 3: Cross multiply
    302.54x = 420.31 × 299.58
  4. Step 4: Simplify right side
    302.54x = 125,916.47
  5. Step 5: Solve for x
    x = 125,916.47/302.54
  6. Step 6: Final answer
    x = 416.20

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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.