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Finding the Fourth Proportional to 460.09, 690.52 and 251.91

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Solution

The fourth proportional to 460.09, 690.52 and 251.91 is: 378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.09 : 690.52 = 251.91 : x
  2. Step 2: Convert to fraction form
    460.09/690.52 = 251.91/x
  3. Step 3: Cross multiply
    460.09x = 690.52 × 251.91
  4. Step 4: Simplify right side
    460.09x = 173,948.89
  5. Step 5: Solve for x
    x = 173,948.89/460.09
  6. Step 6: Final answer
    x = 378.08

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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.