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Finding the Fourth Proportional to 460.32, 690.49 and 186.37

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Solution

The fourth proportional to 460.32, 690.49 and 186.37 is: 279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.32 : 690.49 = 186.37 : x
  2. Step 2: Convert to fraction form
    460.32/690.49 = 186.37/x
  3. Step 3: Cross multiply
    460.32x = 690.49 × 186.37
  4. Step 4: Simplify right side
    460.32x = 128,685.13
  5. Step 5: Solve for x
    x = 128,685.13/460.32
  6. Step 6: Final answer
    x = 279.56

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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.