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Finding the Fourth Proportional to 351.40, 527.63 and 304.64

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Solution

The fourth proportional to 351.40, 527.63 and 304.64 is: 457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.40 : 527.63 = 304.64 : x
  2. Step 2: Convert to fraction form
    351.40/527.63 = 304.64/x
  3. Step 3: Cross multiply
    351.40x = 527.63 × 304.64
  4. Step 4: Simplify right side
    351.40x = 160,737.20
  5. Step 5: Solve for x
    x = 160,737.20/351.40
  6. Step 6: Final answer
    x = 457.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.