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Finding the Fourth Proportional to 460.50, 688.12 and 350.20

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Solution

The fourth proportional to 460.50, 688.12 and 350.20 is: 523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.50 : 688.12 = 350.20 : x
  2. Step 2: Convert to fraction form
    460.50/688.12 = 350.20/x
  3. Step 3: Cross multiply
    460.50x = 688.12 × 350.20
  4. Step 4: Simplify right side
    460.50x = 240,979.62
  5. Step 5: Solve for x
    x = 240,979.62/460.50
  6. Step 6: Final answer
    x = 523.30

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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.