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Finding the Fourth Proportional to 340.16, 509.22 and 294.56

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Solution

The fourth proportional to 340.16, 509.22 and 294.56 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 509.22 = 294.56 : x
  2. Step 2: Convert to fraction form
    340.16/509.22 = 294.56/x
  3. Step 3: Cross multiply
    340.16x = 509.22 × 294.56
  4. Step 4: Simplify right side
    340.16x = 149,995.84
  5. Step 5: Solve for x
    x = 149,995.84/340.16
  6. Step 6: Final answer
    x = 440.96

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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.