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Finding the Fourth Proportional to 340.11, 509.36 and 258.30

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Solution

The fourth proportional to 340.11, 509.36 and 258.30 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.11 : 509.36 = 258.30 : x
  2. Step 2: Convert to fraction form
    340.11/509.36 = 258.30/x
  3. Step 3: Cross multiply
    340.11x = 509.36 × 258.30
  4. Step 4: Simplify right side
    340.11x = 131,566.40
  5. Step 5: Solve for x
    x = 131,566.40/340.11
  6. Step 6: Final answer
    x = 386.83

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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.