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Finding the Fourth Proportional to 339.04, 509.34 and 319.60

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Solution

The fourth proportional to 339.04, 509.34 and 319.60 is: 480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.04 : 509.34 = 319.60 : x
  2. Step 2: Convert to fraction form
    339.04/509.34 = 319.60/x
  3. Step 3: Cross multiply
    339.04x = 509.34 × 319.60
  4. Step 4: Simplify right side
    339.04x = 162,785.06
  5. Step 5: Solve for x
    x = 162,785.06/339.04
  6. Step 6: Final answer
    x = 480.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.