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Finding the Fourth Proportional to 518.32, 715.40 and 331.98

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Solution

The fourth proportional to 518.32, 715.40 and 331.98 is: 458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.32 : 715.40 = 331.98 : x
  2. Step 2: Convert to fraction form
    518.32/715.40 = 331.98/x
  3. Step 3: Cross multiply
    518.32x = 715.40 × 331.98
  4. Step 4: Simplify right side
    518.32x = 237,498.49
  5. Step 5: Solve for x
    x = 237,498.49/518.32
  6. Step 6: Final answer
    x = 458.21

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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.