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Finding the Fourth Proportional to 256.60, 383.45 and 184.60

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Solution

The fourth proportional to 256.60, 383.45 and 184.60 is: 275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.60 : 383.45 = 184.60 : x
  2. Step 2: Convert to fraction form
    256.60/383.45 = 184.60/x
  3. Step 3: Cross multiply
    256.60x = 383.45 × 184.60
  4. Step 4: Simplify right side
    256.60x = 70,784.87
  5. Step 5: Solve for x
    x = 70,784.87/256.60
  6. Step 6: Final answer
    x = 275.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.