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Finding the Fourth Proportional to 320.72, 477.80 and 305.24

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Solution

The fourth proportional to 320.72, 477.80 and 305.24 is: 454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 477.80 = 305.24 : x
  2. Step 2: Convert to fraction form
    320.72/477.80 = 305.24/x
  3. Step 3: Cross multiply
    320.72x = 477.80 × 305.24
  4. Step 4: Simplify right side
    320.72x = 145,845.63
  5. Step 5: Solve for x
    x = 145,845.63/320.72
  6. Step 6: Final answer
    x = 454.74

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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.