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Finding the Fourth Proportional to 415.68, 621.28 and 299.35

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Solution

The fourth proportional to 415.68, 621.28 and 299.35 is: 447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 621.28 = 299.35 : x
  2. Step 2: Convert to fraction form
    415.68/621.28 = 299.35/x
  3. Step 3: Cross multiply
    415.68x = 621.28 × 299.35
  4. Step 4: Simplify right side
    415.68x = 185,980.17
  5. Step 5: Solve for x
    x = 185,980.17/415.68
  6. Step 6: Final answer
    x = 447.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.