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Finding the Fourth Proportional to 331.55, 457.52 and 207.23

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Solution

The fourth proportional to 331.55, 457.52 and 207.23 is: 285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.55 : 457.52 = 207.23 : x
  2. Step 2: Convert to fraction form
    331.55/457.52 = 207.23/x
  3. Step 3: Cross multiply
    331.55x = 457.52 × 207.23
  4. Step 4: Simplify right side
    331.55x = 94,808.55
  5. Step 5: Solve for x
    x = 94,808.55/331.55
  6. Step 6: Final answer
    x = 285.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.