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Finding the Fourth Proportional to 346.88, 478 and 281.44

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Solution

The fourth proportional to 346.88, 478 and 281.44 is: 387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.88 : 478 = 281.44 : x
  2. Step 2: Convert to fraction form
    346.88/478 = 281.44/x
  3. Step 3: Cross multiply
    346.88x = 478 × 281.44
  4. Step 4: Simplify right side
    346.88x = 134,528.32
  5. Step 5: Solve for x
    x = 134,528.32/346.88
  6. Step 6: Final answer
    x = 387.82

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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.