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Finding the Fourth Proportional to 328.63, 453.15 and 258.47

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Solution

The fourth proportional to 328.63, 453.15 and 258.47 is: 356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.63 : 453.15 = 258.47 : x
  2. Step 2: Convert to fraction form
    328.63/453.15 = 258.47/x
  3. Step 3: Cross multiply
    328.63x = 453.15 × 258.47
  4. Step 4: Simplify right side
    328.63x = 117,125.68
  5. Step 5: Solve for x
    x = 117,125.68/328.63
  6. Step 6: Final answer
    x = 356.41

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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.