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Finding the Fourth Proportional to 340.14, 509.34 and 305.88

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Solution

The fourth proportional to 340.14, 509.34 and 305.88 is: 458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 509.34 = 305.88 : x
  2. Step 2: Convert to fraction form
    340.14/509.34 = 305.88/x
  3. Step 3: Cross multiply
    340.14x = 509.34 × 305.88
  4. Step 4: Simplify right side
    340.14x = 155,796.92
  5. Step 5: Solve for x
    x = 155,796.92/340.14
  6. Step 6: Final answer
    x = 458.04

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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.