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Finding the Fourth Proportional to 256.84, 354.18 and 153.40

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Solution

The fourth proportional to 256.84, 354.18 and 153.40 is: 211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.84 : 354.18 = 153.40 : x
  2. Step 2: Convert to fraction form
    256.84/354.18 = 153.40/x
  3. Step 3: Cross multiply
    256.84x = 354.18 × 153.40
  4. Step 4: Simplify right side
    256.84x = 54,331.21
  5. Step 5: Solve for x
    x = 54,331.21/256.84
  6. Step 6: Final answer
    x = 211.54

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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.