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Finding the Fourth Proportional to 646.43, 970.10 and 256.52

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Solution

The fourth proportional to 646.43, 970.10 and 256.52 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.43 : 970.10 = 256.52 : x
  2. Step 2: Convert to fraction form
    646.43/970.10 = 256.52/x
  3. Step 3: Cross multiply
    646.43x = 970.10 × 256.52
  4. Step 4: Simplify right side
    646.43x = 248,848.14
  5. Step 5: Solve for x
    x = 248,848.14/646.43
  6. Step 6: Final answer
    x = 384.96

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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.