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Finding the Fourth Proportional to 256.34, 383.70 and 169.68

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Solution

The fourth proportional to 256.34, 383.70 and 169.68 is: 253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.34 : 383.70 = 169.68 : x
  2. Step 2: Convert to fraction form
    256.34/383.70 = 169.68/x
  3. Step 3: Cross multiply
    256.34x = 383.70 × 169.68
  4. Step 4: Simplify right side
    256.34x = 65,106.22
  5. Step 5: Solve for x
    x = 65,106.22/256.34
  6. Step 6: Final answer
    x = 253.98

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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.