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Finding the Fourth Proportional to 256.95, 354.53 and 187.17

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Solution

The fourth proportional to 256.95, 354.53 and 187.17 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 354.53 = 187.17 : x
  2. Step 2: Convert to fraction form
    256.95/354.53 = 187.17/x
  3. Step 3: Cross multiply
    256.95x = 354.53 × 187.17
  4. Step 4: Simplify right side
    256.95x = 66,357.38
  5. Step 5: Solve for x
    x = 66,357.38/256.95
  6. Step 6: Final answer
    x = 258.25

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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.