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Finding the Fourth Proportional to 482.78, 666.06 and 317.06

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Solution

The fourth proportional to 482.78, 666.06 and 317.06 is: 437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.78 : 666.06 = 317.06 : x
  2. Step 2: Convert to fraction form
    482.78/666.06 = 317.06/x
  3. Step 3: Cross multiply
    482.78x = 666.06 × 317.06
  4. Step 4: Simplify right side
    482.78x = 211,180.98
  5. Step 5: Solve for x
    x = 211,180.98/482.78
  6. Step 6: Final answer
    x = 437.43

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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.