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Finding the Fourth Proportional to 410.40, 615.81 and 256.29

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Solution

The fourth proportional to 410.40, 615.81 and 256.29 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 615.81 = 256.29 : x
  2. Step 2: Convert to fraction form
    410.40/615.81 = 256.29/x
  3. Step 3: Cross multiply
    410.40x = 615.81 × 256.29
  4. Step 4: Simplify right side
    410.40x = 157,825.94
  5. Step 5: Solve for x
    x = 157,825.94/410.40
  6. Step 6: Final answer
    x = 384.57

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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.