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Finding the Fourth Proportional to 536.66, 805.12 and 151.90

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Solution

The fourth proportional to 536.66, 805.12 and 151.90 is: 227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.66 : 805.12 = 151.90 : x
  2. Step 2: Convert to fraction form
    536.66/805.12 = 151.90/x
  3. Step 3: Cross multiply
    536.66x = 805.12 × 151.90
  4. Step 4: Simplify right side
    536.66x = 122,297.73
  5. Step 5: Solve for x
    x = 122,297.73/536.66
  6. Step 6: Final answer
    x = 227.89

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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.