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Finding the Fourth Proportional to 470.00, 703.86 and 238.55

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Solution

The fourth proportional to 470.00, 703.86 and 238.55 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.00 : 703.86 = 238.55 : x
  2. Step 2: Convert to fraction form
    470.00/703.86 = 238.55/x
  3. Step 3: Cross multiply
    470.00x = 703.86 × 238.55
  4. Step 4: Simplify right side
    470.00x = 167,901.39
  5. Step 5: Solve for x
    x = 167,901.39/470.00
  6. Step 6: Final answer
    x = 357.24

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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.