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Finding the Fourth Proportional to 341.38, 509.77 and 276.45

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Solution

The fourth proportional to 341.38, 509.77 and 276.45 is: 412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.38 : 509.77 = 276.45 : x
  2. Step 2: Convert to fraction form
    341.38/509.77 = 276.45/x
  3. Step 3: Cross multiply
    341.38x = 509.77 × 276.45
  4. Step 4: Simplify right side
    341.38x = 140,925.92
  5. Step 5: Solve for x
    x = 140,925.92/341.38
  6. Step 6: Final answer
    x = 412.81

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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.