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Finding the Fourth Proportional to 341.44, 508.88 and 276.16

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Solution

The fourth proportional to 341.44, 508.88 and 276.16 is: 411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.44 : 508.88 = 276.16 : x
  2. Step 2: Convert to fraction form
    341.44/508.88 = 276.16/x
  3. Step 3: Cross multiply
    341.44x = 508.88 × 276.16
  4. Step 4: Simplify right side
    341.44x = 140,532.30
  5. Step 5: Solve for x
    x = 140,532.30/341.44
  6. Step 6: Final answer
    x = 411.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.