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Finding the Fourth Proportional to 355.94, 531.84 and 278.72

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Solution

The fourth proportional to 355.94, 531.84 and 278.72 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.94 : 531.84 = 278.72 : x
  2. Step 2: Convert to fraction form
    355.94/531.84 = 278.72/x
  3. Step 3: Cross multiply
    355.94x = 531.84 × 278.72
  4. Step 4: Simplify right side
    355.94x = 148,231.79
  5. Step 5: Solve for x
    x = 148,231.79/355.94
  6. Step 6: Final answer
    x = 416.46

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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.