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Finding the Fourth Proportional to 345.76, 477.44 and 334.88

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Solution

The fourth proportional to 345.76, 477.44 and 334.88 is: 462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.76 : 477.44 = 334.88 : x
  2. Step 2: Convert to fraction form
    345.76/477.44 = 334.88/x
  3. Step 3: Cross multiply
    345.76x = 477.44 × 334.88
  4. Step 4: Simplify right side
    345.76x = 159,885.11
  5. Step 5: Solve for x
    x = 159,885.11/345.76
  6. Step 6: Final answer
    x = 462.42

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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.