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Finding the Fourth Proportional to 460.43, 690.95 and 200.35

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Solution

The fourth proportional to 460.43, 690.95 and 200.35 is: 300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.43 : 690.95 = 200.35 : x
  2. Step 2: Convert to fraction form
    460.43/690.95 = 200.35/x
  3. Step 3: Cross multiply
    460.43x = 690.95 × 200.35
  4. Step 4: Simplify right side
    460.43x = 138,429.10
  5. Step 5: Solve for x
    x = 138,429.10/460.43
  6. Step 6: Final answer
    x = 300.66

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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.