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Finding the Fourth Proportional to 464.82, 697.06 and 135.66

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Solution

The fourth proportional to 464.82, 697.06 and 135.66 is: 203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.82 : 697.06 = 135.66 : x
  2. Step 2: Convert to fraction form
    464.82/697.06 = 135.66/x
  3. Step 3: Cross multiply
    464.82x = 697.06 × 135.66
  4. Step 4: Simplify right side
    464.82x = 94,562.48
  5. Step 5: Solve for x
    x = 94,562.48/464.82
  6. Step 6: Final answer
    x = 203.44

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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.