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Finding the Fourth Proportional to 355.40, 488.23 and 289.72

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Solution

The fourth proportional to 355.40, 488.23 and 289.72 is: 398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.40 : 488.23 = 289.72 : x
  2. Step 2: Convert to fraction form
    355.40/488.23 = 289.72/x
  3. Step 3: Cross multiply
    355.40x = 488.23 × 289.72
  4. Step 4: Simplify right side
    355.40x = 141,450.00
  5. Step 5: Solve for x
    x = 141,450.00/355.40
  6. Step 6: Final answer
    x = 398.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.