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Finding the Fourth Proportional to 953.21, 1,429.91 and 259.92

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Solution

The fourth proportional to 953.21, 1,429.91 and 259.92 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.21 : 1,429.91 = 259.92 : x
  2. Step 2: Convert to fraction form
    953.21/1,429.91 = 259.92/x
  3. Step 3: Cross multiply
    953.21x = 1,429.91 × 259.92
  4. Step 4: Simplify right side
    953.21x = 371,662.21
  5. Step 5: Solve for x
    x = 371,662.21/953.21
  6. Step 6: Final answer
    x = 389.91

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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.