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Finding the Fourth Proportional to 354.08, 530.26 and 299.41

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Solution

The fourth proportional to 354.08, 530.26 and 299.41 is: 448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 530.26 = 299.41 : x
  2. Step 2: Convert to fraction form
    354.08/530.26 = 299.41/x
  3. Step 3: Cross multiply
    354.08x = 530.26 × 299.41
  4. Step 4: Simplify right side
    354.08x = 158,765.15
  5. Step 5: Solve for x
    x = 158,765.15/354.08
  6. Step 6: Final answer
    x = 448.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.