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Finding the Fourth Proportional to 959.40, 1,438.14 and 309.68

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Solution

The fourth proportional to 959.40, 1,438.14 and 309.68 is: 464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.40 : 1,438.14 = 309.68 : x
  2. Step 2: Convert to fraction form
    959.40/1,438.14 = 309.68/x
  3. Step 3: Cross multiply
    959.40x = 1,438.14 × 309.68
  4. Step 4: Simplify right side
    959.40x = 445,363.20
  5. Step 5: Solve for x
    x = 445,363.20/959.40
  6. Step 6: Final answer
    x = 464.21

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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.