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Finding the Fourth Proportional to 256.51, 384.74 and 83.18

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Solution

The fourth proportional to 256.51, 384.74 and 83.18 is: 124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.51 : 384.74 = 83.18 : x
  2. Step 2: Convert to fraction form
    256.51/384.74 = 83.18/x
  3. Step 3: Cross multiply
    256.51x = 384.74 × 83.18
  4. Step 4: Simplify right side
    256.51x = 32,002.26
  5. Step 5: Solve for x
    x = 32,002.26/256.51
  6. Step 6: Final answer
    x = 124.76

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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.