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Finding the Fourth Proportional to 320.30, 480.45 and 283.10

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Solution

The fourth proportional to 320.30, 480.45 and 283.10 is: 424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.30 : 480.45 = 283.10 : x
  2. Step 2: Convert to fraction form
    320.30/480.45 = 283.10/x
  3. Step 3: Cross multiply
    320.30x = 480.45 × 283.10
  4. Step 4: Simplify right side
    320.30x = 136,015.40
  5. Step 5: Solve for x
    x = 136,015.40/320.30
  6. Step 6: Final answer
    x = 424.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.