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Finding the Fourth Proportional to 340.38, 514.26 and 337.50

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Solution

The fourth proportional to 340.38, 514.26 and 337.50 is: 509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.38 : 514.26 = 337.50 : x
  2. Step 2: Convert to fraction form
    340.38/514.26 = 337.50/x
  3. Step 3: Cross multiply
    340.38x = 514.26 × 337.50
  4. Step 4: Simplify right side
    340.38x = 173,562.75
  5. Step 5: Solve for x
    x = 173,562.75/340.38
  6. Step 6: Final answer
    x = 509.91

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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.