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Finding the Fourth Proportional to 340.67, 509.85 and 259.04

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Solution

The fourth proportional to 340.67, 509.85 and 259.04 is: 387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.67 : 509.85 = 259.04 : x
  2. Step 2: Convert to fraction form
    340.67/509.85 = 259.04/x
  3. Step 3: Cross multiply
    340.67x = 509.85 × 259.04
  4. Step 4: Simplify right side
    340.67x = 132,068.99
  5. Step 5: Solve for x
    x = 132,068.99/340.67
  6. Step 6: Final answer
    x = 387.68

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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.