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Finding the Fourth Proportional to 256.40, 354.15 and 186.35

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Solution

The fourth proportional to 256.40, 354.15 and 186.35 is: 257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.40 : 354.15 = 186.35 : x
  2. Step 2: Convert to fraction form
    256.40/354.15 = 186.35/x
  3. Step 3: Cross multiply
    256.40x = 354.15 × 186.35
  4. Step 4: Simplify right side
    256.40x = 65,994.08
  5. Step 5: Solve for x
    x = 65,994.08/256.40
  6. Step 6: Final answer
    x = 257.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.