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Finding the Fourth Proportional to 482.18, 665.43 and 283.01

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Solution

The fourth proportional to 482.18, 665.43 and 283.01 is: 390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.18 : 665.43 = 283.01 : x
  2. Step 2: Convert to fraction form
    482.18/665.43 = 283.01/x
  3. Step 3: Cross multiply
    482.18x = 665.43 × 283.01
  4. Step 4: Simplify right side
    482.18x = 188,320.02
  5. Step 5: Solve for x
    x = 188,320.02/482.18
  6. Step 6: Final answer
    x = 390.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.