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Finding the Fourth Proportional to 356.90, 534.94 and 151.16

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Solution

The fourth proportional to 356.90, 534.94 and 151.16 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.90 : 534.94 = 151.16 : x
  2. Step 2: Convert to fraction form
    356.90/534.94 = 151.16/x
  3. Step 3: Cross multiply
    356.90x = 534.94 × 151.16
  4. Step 4: Simplify right side
    356.90x = 80,858.48
  5. Step 5: Solve for x
    x = 80,858.48/356.90
  6. Step 6: Final answer
    x = 226.56

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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.