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Finding the Fourth Proportional to 646.74, 970.22 and 256.74

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Solution

The fourth proportional to 646.74, 970.22 and 256.74 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 970.22 = 256.74 : x
  2. Step 2: Convert to fraction form
    646.74/970.22 = 256.74/x
  3. Step 3: Cross multiply
    646.74x = 970.22 × 256.74
  4. Step 4: Simplify right side
    646.74x = 249,094.82
  5. Step 5: Solve for x
    x = 249,094.82/646.74
  6. Step 6: Final answer
    x = 385.15

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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.