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Finding the Fourth Proportional to 354.40, 488.61 and 256.18

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Solution

The fourth proportional to 354.40, 488.61 and 256.18 is: 353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.40 : 488.61 = 256.18 : x
  2. Step 2: Convert to fraction form
    354.40/488.61 = 256.18/x
  3. Step 3: Cross multiply
    354.40x = 488.61 × 256.18
  4. Step 4: Simplify right side
    354.40x = 125,172.11
  5. Step 5: Solve for x
    x = 125,172.11/354.40
  6. Step 6: Final answer
    x = 353.19

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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.