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Finding the Fourth Proportional to 460.18, 690.57 and 200.10

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Solution

The fourth proportional to 460.18, 690.57 and 200.10 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.18 : 690.57 = 200.10 : x
  2. Step 2: Convert to fraction form
    460.18/690.57 = 200.10/x
  3. Step 3: Cross multiply
    460.18x = 690.57 × 200.10
  4. Step 4: Simplify right side
    460.18x = 138,182.06
  5. Step 5: Solve for x
    x = 138,182.06/460.18
  6. Step 6: Final answer
    x = 300.28

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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.