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Finding the Fourth Proportional to 946.82, 1,420.12 and 253.54

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Solution

The fourth proportional to 946.82, 1,420.12 and 253.54 is: 380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.82 : 1,420.12 = 253.54 : x
  2. Step 2: Convert to fraction form
    946.82/1,420.12 = 253.54/x
  3. Step 3: Cross multiply
    946.82x = 1,420.12 × 253.54
  4. Step 4: Simplify right side
    946.82x = 360,059.32
  5. Step 5: Solve for x
    x = 360,059.32/946.82
  6. Step 6: Final answer
    x = 380.28

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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.