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Finding the Fourth Proportional to 410.88, 616.40 and 256.96

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Solution

The fourth proportional to 410.88, 616.40 and 256.96 is: 385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.88 : 616.40 = 256.96 : x
  2. Step 2: Convert to fraction form
    410.88/616.40 = 256.96/x
  3. Step 3: Cross multiply
    410.88x = 616.40 × 256.96
  4. Step 4: Simplify right side
    410.88x = 158,390.14
  5. Step 5: Solve for x
    x = 158,390.14/410.88
  6. Step 6: Final answer
    x = 385.49

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1.5x scale

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.