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Finding the Fourth Proportional to 410, 614.68 and 255.68

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Solution

The fourth proportional to 410, 614.68 and 255.68 is: 383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 614.68 = 255.68 : x
  2. Step 2: Convert to fraction form
    410/614.68 = 255.68/x
  3. Step 3: Cross multiply
    410x = 614.68 × 255.68
  4. Step 4: Simplify right side
    410x = 157,161.38
  5. Step 5: Solve for x
    x = 157,161.38/410
  6. Step 6: Final answer
    x = 383.32

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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.