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Finding the Fourth Proportional to 460.38, 690.12 and 152.02

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Solution

The fourth proportional to 460.38, 690.12 and 152.02 is: 227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 690.12 = 152.02 : x
  2. Step 2: Convert to fraction form
    460.38/690.12 = 152.02/x
  3. Step 3: Cross multiply
    460.38x = 690.12 × 152.02
  4. Step 4: Simplify right side
    460.38x = 104,912.04
  5. Step 5: Solve for x
    x = 104,912.04/460.38
  6. Step 6: Final answer
    x = 227.88

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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.