Home / 646.11-968.49-256.10

Finding the Fourth Proportional to 646.11, 968.49 and 256.10

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Solution

The fourth proportional to 646.11, 968.49 and 256.10 is: 383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.11 : 968.49 = 256.10 : x
  2. Step 2: Convert to fraction form
    646.11/968.49 = 256.10/x
  3. Step 3: Cross multiply
    646.11x = 968.49 × 256.10
  4. Step 4: Simplify right side
    646.11x = 248,025.45
  5. Step 5: Solve for x
    x = 248,025.45/646.11
  6. Step 6: Final answer
    x = 383.87

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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.