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Finding the Fourth Proportional to 314.64, 469.27 and 276.37

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Solution

The fourth proportional to 314.64, 469.27 and 276.37 is: 412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 469.27 = 276.37 : x
  2. Step 2: Convert to fraction form
    314.64/469.27 = 276.37/x
  3. Step 3: Cross multiply
    314.64x = 469.27 × 276.37
  4. Step 4: Simplify right side
    314.64x = 129,692.15
  5. Step 5: Solve for x
    x = 129,692.15/314.64
  6. Step 6: Final answer
    x = 412.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.