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Finding the Fourth Proportional to 314.58, 471.88 and 109.10

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Solution

The fourth proportional to 314.58, 471.88 and 109.10 is: 163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.58 : 471.88 = 109.10 : x
  2. Step 2: Convert to fraction form
    314.58/471.88 = 109.10/x
  3. Step 3: Cross multiply
    314.58x = 471.88 × 109.10
  4. Step 4: Simplify right side
    314.58x = 51,480.16
  5. Step 5: Solve for x
    x = 51,480.16/314.58
  6. Step 6: Final answer
    x = 163.65

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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.