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Finding the Fourth Proportional to 457.66, 631.32 and 300.25

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Solution

The fourth proportional to 457.66, 631.32 and 300.25 is: 414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.66 : 631.32 = 300.25 : x
  2. Step 2: Convert to fraction form
    457.66/631.32 = 300.25/x
  3. Step 3: Cross multiply
    457.66x = 631.32 × 300.25
  4. Step 4: Simplify right side
    457.66x = 189,550.67
  5. Step 5: Solve for x
    x = 189,550.67/457.66
  6. Step 6: Final answer
    x = 414.18

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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.