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Finding the Fourth Proportional to 401.76, 599.52 and 353.76

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Solution

The fourth proportional to 401.76, 599.52 and 353.76 is: 527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 599.52 = 353.76 : x
  2. Step 2: Convert to fraction form
    401.76/599.52 = 353.76/x
  3. Step 3: Cross multiply
    401.76x = 599.52 × 353.76
  4. Step 4: Simplify right side
    401.76x = 212,086.20
  5. Step 5: Solve for x
    x = 212,086.20/401.76
  6. Step 6: Final answer
    x = 527.89

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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.