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Finding the Fourth Proportional to 340.82, 509.48 and 253.34

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Solution

The fourth proportional to 340.82, 509.48 and 253.34 is: 378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.82 : 509.48 = 253.34 : x
  2. Step 2: Convert to fraction form
    340.82/509.48 = 253.34/x
  3. Step 3: Cross multiply
    340.82x = 509.48 × 253.34
  4. Step 4: Simplify right side
    340.82x = 129,070.40
  5. Step 5: Solve for x
    x = 129,070.40/340.82
  6. Step 6: Final answer
    x = 378.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.