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Finding the Fourth Proportional to 341.71, 509.94 and 305.26

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Solution

The fourth proportional to 341.71, 509.94 and 305.26 is: 455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.71 : 509.94 = 305.26 : x
  2. Step 2: Convert to fraction form
    341.71/509.94 = 305.26/x
  3. Step 3: Cross multiply
    341.71x = 509.94 × 305.26
  4. Step 4: Simplify right side
    341.71x = 155,664.28
  5. Step 5: Solve for x
    x = 155,664.28/341.71
  6. Step 6: Final answer
    x = 455.55

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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.