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Finding the Fourth Proportional to 700.84, 1,050.86 and 238.38

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Solution

The fourth proportional to 700.84, 1,050.86 and 238.38 is: 357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.84 : 1,050.86 = 238.38 : x
  2. Step 2: Convert to fraction form
    700.84/1,050.86 = 238.38/x
  3. Step 3: Cross multiply
    700.84x = 1,050.86 × 238.38
  4. Step 4: Simplify right side
    700.84x = 250,504.01
  5. Step 5: Solve for x
    x = 250,504.01/700.84
  6. Step 6: Final answer
    x = 357.43

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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.