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Finding the Fourth Proportional to 358.89, 535.42 and 319.68

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Solution

The fourth proportional to 358.89, 535.42 and 319.68 is: 476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.89 : 535.42 = 319.68 : x
  2. Step 2: Convert to fraction form
    358.89/535.42 = 319.68/x
  3. Step 3: Cross multiply
    358.89x = 535.42 × 319.68
  4. Step 4: Simplify right side
    358.89x = 171,162.27
  5. Step 5: Solve for x
    x = 171,162.27/358.89
  6. Step 6: Final answer
    x = 476.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.