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Finding the Fourth Proportional to 916.22, 1,374.45 and 299.76

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Solution

The fourth proportional to 916.22, 1,374.45 and 299.76 is: 449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.22 : 1,374.45 = 299.76 : x
  2. Step 2: Convert to fraction form
    916.22/1,374.45 = 299.76/x
  3. Step 3: Cross multiply
    916.22x = 1,374.45 × 299.76
  4. Step 4: Simplify right side
    916.22x = 412,005.13
  5. Step 5: Solve for x
    x = 412,005.13/916.22
  6. Step 6: Final answer
    x = 449.68

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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.