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Finding the Fourth Proportional to 348, 480.32 and 210.08

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Solution

The fourth proportional to 348, 480.32 and 210.08 is: 289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348 : 480.32 = 210.08 : x
  2. Step 2: Convert to fraction form
    348/480.32 = 210.08/x
  3. Step 3: Cross multiply
    348x = 480.32 × 210.08
  4. Step 4: Simplify right side
    348x = 100,905.63
  5. Step 5: Solve for x
    x = 100,905.63/348
  6. Step 6: Final answer
    x = 289.96

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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.