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Finding the Fourth Proportional to 315.12, 471.78 and 233.58

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Solution

The fourth proportional to 315.12, 471.78 and 233.58 is: 349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 471.78 = 233.58 : x
  2. Step 2: Convert to fraction form
    315.12/471.78 = 233.58/x
  3. Step 3: Cross multiply
    315.12x = 471.78 × 233.58
  4. Step 4: Simplify right side
    315.12x = 110,198.37
  5. Step 5: Solve for x
    x = 110,198.37/315.12
  6. Step 6: Final answer
    x = 349.70

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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.