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Finding the Fourth Proportional to 700.04, 1,049.28 and 266.84

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Solution

The fourth proportional to 700.04, 1,049.28 and 266.84 is: 399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.04 : 1,049.28 = 266.84 : x
  2. Step 2: Convert to fraction form
    700.04/1,049.28 = 266.84/x
  3. Step 3: Cross multiply
    700.04x = 1,049.28 × 266.84
  4. Step 4: Simplify right side
    700.04x = 279,989.88
  5. Step 5: Solve for x
    x = 279,989.88/700.04
  6. Step 6: Final answer
    x = 399.96

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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.