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Finding the Fourth Proportional to 341.40, 509.77 and 280.66

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Solution

The fourth proportional to 341.40, 509.77 and 280.66 is: 419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.40 : 509.77 = 280.66 : x
  2. Step 2: Convert to fraction form
    341.40/509.77 = 280.66/x
  3. Step 3: Cross multiply
    341.40x = 509.77 × 280.66
  4. Step 4: Simplify right side
    341.40x = 143,072.05
  5. Step 5: Solve for x
    x = 143,072.05/341.40
  6. Step 6: Final answer
    x = 419.07

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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.