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Finding the Fourth Proportional to 356.40, 535.21 and 191.77

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Solution

The fourth proportional to 356.40, 535.21 and 191.77 is: 287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 535.21 = 191.77 : x
  2. Step 2: Convert to fraction form
    356.40/535.21 = 191.77/x
  3. Step 3: Cross multiply
    356.40x = 535.21 × 191.77
  4. Step 4: Simplify right side
    356.40x = 102,635.40
  5. Step 5: Solve for x
    x = 102,635.40/356.40
  6. Step 6: Final answer
    x = 287.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.