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Finding the Fourth Proportional to 412.64, 570.48 and 308.96

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Solution

The fourth proportional to 412.64, 570.48 and 308.96 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 570.48 = 308.96 : x
  2. Step 2: Convert to fraction form
    412.64/570.48 = 308.96/x
  3. Step 3: Cross multiply
    412.64x = 570.48 × 308.96
  4. Step 4: Simplify right side
    412.64x = 176,255.50
  5. Step 5: Solve for x
    x = 176,255.50/412.64
  6. Step 6: Final answer
    x = 427.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.