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Finding the Fourth Proportional to 699.16, 1,048.90 and 266.32

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Solution

The fourth proportional to 699.16, 1,048.90 and 266.32 is: 399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.16 : 1,048.90 = 266.32 : x
  2. Step 2: Convert to fraction form
    699.16/1,048.90 = 266.32/x
  3. Step 3: Cross multiply
    699.16x = 1,048.90 × 266.32
  4. Step 4: Simplify right side
    699.16x = 279,343.05
  5. Step 5: Solve for x
    x = 279,343.05/699.16
  6. Step 6: Final answer
    x = 399.54

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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.