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Finding the Fourth Proportional to 700.71, 1,051.18 and 238.44

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Solution

The fourth proportional to 700.71, 1,051.18 and 238.44 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.71 : 1,051.18 = 238.44 : x
  2. Step 2: Convert to fraction form
    700.71/1,051.18 = 238.44/x
  3. Step 3: Cross multiply
    700.71x = 1,051.18 × 238.44
  4. Step 4: Simplify right side
    700.71x = 250,648.05
  5. Step 5: Solve for x
    x = 250,648.05/700.71
  6. Step 6: Final answer
    x = 357.70

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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.