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Finding the Fourth Proportional to 354.54, 488.58 and 256.11

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Solution

The fourth proportional to 354.54, 488.58 and 256.11 is: 352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.54 : 488.58 = 256.11 : x
  2. Step 2: Convert to fraction form
    354.54/488.58 = 256.11/x
  3. Step 3: Cross multiply
    354.54x = 488.58 × 256.11
  4. Step 4: Simplify right side
    354.54x = 125,130.22
  5. Step 5: Solve for x
    x = 125,130.22/354.54
  6. Step 6: Final answer
    x = 352.94

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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.