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Finding the Fourth Proportional to 457.11, 631.08 and 299.99

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Solution

The fourth proportional to 457.11, 631.08 and 299.99 is: 414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.11 : 631.08 = 299.99 : x
  2. Step 2: Convert to fraction form
    457.11/631.08 = 299.99/x
  3. Step 3: Cross multiply
    457.11x = 631.08 × 299.99
  4. Step 4: Simplify right side
    457.11x = 189,319.27
  5. Step 5: Solve for x
    x = 189,319.27/457.11
  6. Step 6: Final answer
    x = 414.17

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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.