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Finding the Fourth Proportional to 370.92, 512.34 and 318.98

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Solution

The fourth proportional to 370.92, 512.34 and 318.98 is: 440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.92 : 512.34 = 318.98 : x
  2. Step 2: Convert to fraction form
    370.92/512.34 = 318.98/x
  3. Step 3: Cross multiply
    370.92x = 512.34 × 318.98
  4. Step 4: Simplify right side
    370.92x = 163,426.21
  5. Step 5: Solve for x
    x = 163,426.21/370.92
  6. Step 6: Final answer
    x = 440.60

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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.