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Finding the Fourth Proportional to 358.68, 535.56 and 319.80

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Solution

The fourth proportional to 358.68, 535.56 and 319.80 is: 477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.68 : 535.56 = 319.80 : x
  2. Step 2: Convert to fraction form
    358.68/535.56 = 319.80/x
  3. Step 3: Cross multiply
    358.68x = 535.56 × 319.80
  4. Step 4: Simplify right side
    358.68x = 171,272.09
  5. Step 5: Solve for x
    x = 171,272.09/358.68
  6. Step 6: Final answer
    x = 477.51

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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.