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Finding the Fourth Proportional to 331.51, 458.09 and 315.49

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Solution

The fourth proportional to 331.51, 458.09 and 315.49 is: 435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.51 : 458.09 = 315.49 : x
  2. Step 2: Convert to fraction form
    331.51/458.09 = 315.49/x
  3. Step 3: Cross multiply
    331.51x = 458.09 × 315.49
  4. Step 4: Simplify right side
    331.51x = 144,522.81
  5. Step 5: Solve for x
    x = 144,522.81/331.51
  6. Step 6: Final answer
    x = 435.95

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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.