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Finding the Fourth Proportional to 377.24, 563.65 and 304.34

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Solution

The fourth proportional to 377.24, 563.65 and 304.34 is: 454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.24 : 563.65 = 304.34 : x
  2. Step 2: Convert to fraction form
    377.24/563.65 = 304.34/x
  3. Step 3: Cross multiply
    377.24x = 563.65 × 304.34
  4. Step 4: Simplify right side
    377.24x = 171,537.66
  5. Step 5: Solve for x
    x = 171,537.66/377.24
  6. Step 6: Final answer
    x = 454.72

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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.