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Finding the Fourth Proportional to 410.48, 614.96 and 256

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Solution

The fourth proportional to 410.48, 614.96 and 256 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.48 : 614.96 = 256 : x
  2. Step 2: Convert to fraction form
    410.48/614.96 = 256/x
  3. Step 3: Cross multiply
    410.48x = 614.96 × 256
  4. Step 4: Simplify right side
    410.48x = 157,429.76
  5. Step 5: Solve for x
    x = 157,429.76/410.48
  6. Step 6: Final answer
    x = 383.53

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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.