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Finding the Fourth Proportional to 320, 477.48 and 287.60

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Solution

The fourth proportional to 320, 477.48 and 287.60 is: 429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 477.48 = 287.60 : x
  2. Step 2: Convert to fraction form
    320/477.48 = 287.60/x
  3. Step 3: Cross multiply
    320x = 477.48 × 287.60
  4. Step 4: Simplify right side
    320x = 137,323.25
  5. Step 5: Solve for x
    x = 137,323.25/320
  6. Step 6: Final answer
    x = 429.14

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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.