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Finding the Fourth Proportional to 314.48, 471.78 and 109.08

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Solution

The fourth proportional to 314.48, 471.78 and 109.08 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 471.78 = 109.08 : x
  2. Step 2: Convert to fraction form
    314.48/471.78 = 109.08/x
  3. Step 3: Cross multiply
    314.48x = 471.78 × 109.08
  4. Step 4: Simplify right side
    314.48x = 51,461.76
  5. Step 5: Solve for x
    x = 51,461.76/314.48
  6. Step 6: Final answer
    x = 163.64

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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.