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Finding the Fourth Proportional to 646.68, 969.52 and 256.36

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Solution

The fourth proportional to 646.68, 969.52 and 256.36 is: 384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.68 : 969.52 = 256.36 : x
  2. Step 2: Convert to fraction form
    646.68/969.52 = 256.36/x
  3. Step 3: Cross multiply
    646.68x = 969.52 × 256.36
  4. Step 4: Simplify right side
    646.68x = 248,546.15
  5. Step 5: Solve for x
    x = 248,546.15/646.68
  6. Step 6: Final answer
    x = 384.34

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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.