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Finding the Fourth Proportional to 509.36, 703.12 and 312.80

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Solution

The fourth proportional to 509.36, 703.12 and 312.80 is: 431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.36 : 703.12 = 312.80 : x
  2. Step 2: Convert to fraction form
    509.36/703.12 = 312.80/x
  3. Step 3: Cross multiply
    509.36x = 703.12 × 312.80
  4. Step 4: Simplify right side
    509.36x = 219,935.94
  5. Step 5: Solve for x
    x = 219,935.94/509.36
  6. Step 6: Final answer
    x = 431.79

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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.