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Finding the Fourth Proportional to 328.34, 452.87 and 319.34

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Solution

The fourth proportional to 328.34, 452.87 and 319.34 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.34 : 452.87 = 319.34 : x
  2. Step 2: Convert to fraction form
    328.34/452.87 = 319.34/x
  3. Step 3: Cross multiply
    328.34x = 452.87 × 319.34
  4. Step 4: Simplify right side
    328.34x = 144,619.51
  5. Step 5: Solve for x
    x = 144,619.51/328.34
  6. Step 6: Final answer
    x = 440.46

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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.