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Finding the Fourth Proportional to 434.41, 598.84 and 340.86

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Solution

The fourth proportional to 434.41, 598.84 and 340.86 is: 469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.41 : 598.84 = 340.86 : x
  2. Step 2: Convert to fraction form
    434.41/598.84 = 340.86/x
  3. Step 3: Cross multiply
    434.41x = 598.84 × 340.86
  4. Step 4: Simplify right side
    434.41x = 204,120.54
  5. Step 5: Solve for x
    x = 204,120.54/434.41
  6. Step 6: Final answer
    x = 469.88

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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.