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Finding the Fourth Proportional to 460.47, 690.81 and 255.34

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Solution

The fourth proportional to 460.47, 690.81 and 255.34 is: 383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 690.81 = 255.34 : x
  2. Step 2: Convert to fraction form
    460.47/690.81 = 255.34/x
  3. Step 3: Cross multiply
    460.47x = 690.81 × 255.34
  4. Step 4: Simplify right side
    460.47x = 176,391.43
  5. Step 5: Solve for x
    x = 176,391.43/460.47
  6. Step 6: Final answer
    x = 383.07

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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.