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Finding the Fourth Proportional to 355.10, 489.03 and 256.70

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Solution

The fourth proportional to 355.10, 489.03 and 256.70 is: 353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.10 : 489.03 = 256.70 : x
  2. Step 2: Convert to fraction form
    355.10/489.03 = 256.70/x
  3. Step 3: Cross multiply
    355.10x = 489.03 × 256.70
  4. Step 4: Simplify right side
    355.10x = 125,534.00
  5. Step 5: Solve for x
    x = 125,534.00/355.10
  6. Step 6: Final answer
    x = 353.52

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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.