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Finding the Fourth Proportional to 256.35, 384.58 and 83.02

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Solution

The fourth proportional to 256.35, 384.58 and 83.02 is: 124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.35 : 384.58 = 83.02 : x
  2. Step 2: Convert to fraction form
    256.35/384.58 = 83.02/x
  3. Step 3: Cross multiply
    256.35x = 384.58 × 83.02
  4. Step 4: Simplify right side
    256.35x = 31,927.83
  5. Step 5: Solve for x
    x = 31,927.83/256.35
  6. Step 6: Final answer
    x = 124.55

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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.