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Finding the Fourth Proportional to 314.77, 431.86 and 299.28

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Solution

The fourth proportional to 314.77, 431.86 and 299.28 is: 410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.77 : 431.86 = 299.28 : x
  2. Step 2: Convert to fraction form
    314.77/431.86 = 299.28/x
  3. Step 3: Cross multiply
    314.77x = 431.86 × 299.28
  4. Step 4: Simplify right side
    314.77x = 129,247.06
  5. Step 5: Solve for x
    x = 129,247.06/314.77
  6. Step 6: Final answer
    x = 410.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.