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Finding the Fourth Proportional to 842.02, 1,262.99 and 264.90

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Solution

The fourth proportional to 842.02, 1,262.99 and 264.90 is: 397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,262.99 = 264.90 : x
  2. Step 2: Convert to fraction form
    842.02/1,262.99 = 264.90/x
  3. Step 3: Cross multiply
    842.02x = 1,262.99 × 264.90
  4. Step 4: Simplify right side
    842.02x = 334,566.05
  5. Step 5: Solve for x
    x = 334,566.05/842.02
  6. Step 6: Final answer
    x = 397.34

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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.