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Finding the Fourth Proportional to 340.32, 470.50 and 299.28

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Solution

The fourth proportional to 340.32, 470.50 and 299.28 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.32 : 470.50 = 299.28 : x
  2. Step 2: Convert to fraction form
    340.32/470.50 = 299.28/x
  3. Step 3: Cross multiply
    340.32x = 470.50 × 299.28
  4. Step 4: Simplify right side
    340.32x = 140,811.24
  5. Step 5: Solve for x
    x = 140,811.24/340.32
  6. Step 6: Final answer
    x = 413.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.