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Finding the Fourth Proportional to 916.38, 1,374.78 and 300.08

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Solution

The fourth proportional to 916.38, 1,374.78 and 300.08 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.38 : 1,374.78 = 300.08 : x
  2. Step 2: Convert to fraction form
    916.38/1,374.78 = 300.08/x
  3. Step 3: Cross multiply
    916.38x = 1,374.78 × 300.08
  4. Step 4: Simplify right side
    916.38x = 412,543.98
  5. Step 5: Solve for x
    x = 412,543.98/916.38
  6. Step 6: Final answer
    x = 450.19

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1.5x scale

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.