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Finding the Fourth Proportional to 341.21, 509.20 and 304.76

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Solution

The fourth proportional to 341.21, 509.20 and 304.76 is: 454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.21 : 509.20 = 304.76 : x
  2. Step 2: Convert to fraction form
    341.21/509.20 = 304.76/x
  3. Step 3: Cross multiply
    341.21x = 509.20 × 304.76
  4. Step 4: Simplify right side
    341.21x = 155,182.27
  5. Step 5: Solve for x
    x = 155,182.27/341.21
  6. Step 6: Final answer
    x = 454.80

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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.