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Finding the Fourth Proportional to 339.14, 510.41 and 305.60

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Solution

The fourth proportional to 339.14, 510.41 and 305.60 is: 459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.14 : 510.41 = 305.60 : x
  2. Step 2: Convert to fraction form
    339.14/510.41 = 305.60/x
  3. Step 3: Cross multiply
    339.14x = 510.41 × 305.60
  4. Step 4: Simplify right side
    339.14x = 155,979.51
  5. Step 5: Solve for x
    x = 155,979.51/339.14
  6. Step 6: Final answer
    x = 459.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.