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Finding the Fourth Proportional to 379.72, 569.64 and 311.53

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Solution

The fourth proportional to 379.72, 569.64 and 311.53 is: 467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.72 : 569.64 = 311.53 : x
  2. Step 2: Convert to fraction form
    379.72/569.64 = 311.53/x
  3. Step 3: Cross multiply
    379.72x = 569.64 × 311.53
  4. Step 4: Simplify right side
    379.72x = 177,459.95
  5. Step 5: Solve for x
    x = 177,459.95/379.72
  6. Step 6: Final answer
    x = 467.34

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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.