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Finding the Fourth Proportional to 340.14, 469.44 and 284.80

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Solution

The fourth proportional to 340.14, 469.44 and 284.80 is: 393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 469.44 = 284.80 : x
  2. Step 2: Convert to fraction form
    340.14/469.44 = 284.80/x
  3. Step 3: Cross multiply
    340.14x = 469.44 × 284.80
  4. Step 4: Simplify right side
    340.14x = 133,696.51
  5. Step 5: Solve for x
    x = 133,696.51/340.14
  6. Step 6: Final answer
    x = 393.06

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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.