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Finding the Fourth Proportional to 355.80, 531.29 and 290.92

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Solution

The fourth proportional to 355.80, 531.29 and 290.92 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.80 : 531.29 = 290.92 : x
  2. Step 2: Convert to fraction form
    355.80/531.29 = 290.92/x
  3. Step 3: Cross multiply
    355.80x = 531.29 × 290.92
  4. Step 4: Simplify right side
    355.80x = 154,562.89
  5. Step 5: Solve for x
    x = 154,562.89/355.80
  6. Step 6: Final answer
    x = 434.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.