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Finding the Fourth Proportional to 320.44, 477.64 and 285.55

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Solution

The fourth proportional to 320.44, 477.64 and 285.55 is: 425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.44 : 477.64 = 285.55 : x
  2. Step 2: Convert to fraction form
    320.44/477.64 = 285.55/x
  3. Step 3: Cross multiply
    320.44x = 477.64 × 285.55
  4. Step 4: Simplify right side
    320.44x = 136,390.10
  5. Step 5: Solve for x
    x = 136,390.10/320.44
  6. Step 6: Final answer
    x = 425.63

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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.