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Finding the Fourth Proportional to 348.40, 479.82 and 340.84

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Solution

The fourth proportional to 348.40, 479.82 and 340.84 is: 469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.40 : 479.82 = 340.84 : x
  2. Step 2: Convert to fraction form
    348.40/479.82 = 340.84/x
  3. Step 3: Cross multiply
    348.40x = 479.82 × 340.84
  4. Step 4: Simplify right side
    348.40x = 163,541.85
  5. Step 5: Solve for x
    x = 163,541.85/348.40
  6. Step 6: Final answer
    x = 469.41

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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.