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Finding the Fourth Proportional to 358.59, 534.99 and 319.60

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Solution

The fourth proportional to 358.59, 534.99 and 319.60 is: 476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.59 : 534.99 = 319.60 : x
  2. Step 2: Convert to fraction form
    358.59/534.99 = 319.60/x
  3. Step 3: Cross multiply
    358.59x = 534.99 × 319.60
  4. Step 4: Simplify right side
    358.59x = 170,982.80
  5. Step 5: Solve for x
    x = 170,982.80/358.59
  6. Step 6: Final answer
    x = 476.83

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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.