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Finding the Fourth Proportional to 946.16, 1,419.36 and 296.80

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Solution

The fourth proportional to 946.16, 1,419.36 and 296.80 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.16 : 1,419.36 = 296.80 : x
  2. Step 2: Convert to fraction form
    946.16/1,419.36 = 296.80/x
  3. Step 3: Cross multiply
    946.16x = 1,419.36 × 296.80
  4. Step 4: Simplify right side
    946.16x = 421,266.05
  5. Step 5: Solve for x
    x = 421,266.05/946.16
  6. Step 6: Final answer
    x = 445.24

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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.