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Finding the Fourth Proportional to 314.55, 471.71 and 109.06

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Solution

The fourth proportional to 314.55, 471.71 and 109.06 is: 163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.55 : 471.71 = 109.06 : x
  2. Step 2: Convert to fraction form
    314.55/471.71 = 109.06/x
  3. Step 3: Cross multiply
    314.55x = 471.71 × 109.06
  4. Step 4: Simplify right side
    314.55x = 51,444.69
  5. Step 5: Solve for x
    x = 51,444.69/314.55
  6. Step 6: Final answer
    x = 163.55

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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.