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Finding the Fourth Proportional to 370.68, 512.12 and 313.44

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Solution

The fourth proportional to 370.68, 512.12 and 313.44 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.68 : 512.12 = 313.44 : x
  2. Step 2: Convert to fraction form
    370.68/512.12 = 313.44/x
  3. Step 3: Cross multiply
    370.68x = 512.12 × 313.44
  4. Step 4: Simplify right side
    370.68x = 160,518.89
  5. Step 5: Solve for x
    x = 160,518.89/370.68
  6. Step 6: Final answer
    x = 433.04

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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.