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Finding the Fourth Proportional to 457.72, 631.66 and 300.42

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Solution

The fourth proportional to 457.72, 631.66 and 300.42 is: 414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.72 : 631.66 = 300.42 : x
  2. Step 2: Convert to fraction form
    457.72/631.66 = 300.42/x
  3. Step 3: Cross multiply
    457.72x = 631.66 × 300.42
  4. Step 4: Simplify right side
    457.72x = 189,763.30
  5. Step 5: Solve for x
    x = 189,763.30/457.72
  6. Step 6: Final answer
    x = 414.58

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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.