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Finding the Fourth Proportional to 482.36, 665.65 and 261.31

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Solution

The fourth proportional to 482.36, 665.65 and 261.31 is: 360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.36 : 665.65 = 261.31 : x
  2. Step 2: Convert to fraction form
    482.36/665.65 = 261.31/x
  3. Step 3: Cross multiply
    482.36x = 665.65 × 261.31
  4. Step 4: Simplify right side
    482.36x = 173,937.02
  5. Step 5: Solve for x
    x = 173,937.02/482.36
  6. Step 6: Final answer
    x = 360.60

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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.