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Finding the Fourth Proportional to 355.77, 488.31 and 315.54

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Solution

The fourth proportional to 355.77, 488.31 and 315.54 is: 433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.77 : 488.31 = 315.54 : x
  2. Step 2: Convert to fraction form
    355.77/488.31 = 315.54/x
  3. Step 3: Cross multiply
    355.77x = 488.31 × 315.54
  4. Step 4: Simplify right side
    355.77x = 154,081.34
  5. Step 5: Solve for x
    x = 154,081.34/355.77
  6. Step 6: Final answer
    x = 433.09

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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.