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Finding the Fourth Proportional to 314.50, 471.63 and 109.02

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Solution

The fourth proportional to 314.50, 471.63 and 109.02 is: 163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.50 : 471.63 = 109.02 : x
  2. Step 2: Convert to fraction form
    314.50/471.63 = 109.02/x
  3. Step 3: Cross multiply
    314.50x = 471.63 × 109.02
  4. Step 4: Simplify right side
    314.50x = 51,417.10
  5. Step 5: Solve for x
    x = 51,417.10/314.50
  6. Step 6: Final answer
    x = 163.49

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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.