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Finding the Fourth Proportional to 255.93, 382.20 and 207.24

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Solution

The fourth proportional to 255.93, 382.20 and 207.24 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.93 : 382.20 = 207.24 : x
  2. Step 2: Convert to fraction form
    255.93/382.20 = 207.24/x
  3. Step 3: Cross multiply
    255.93x = 382.20 × 207.24
  4. Step 4: Simplify right side
    255.93x = 79,207.13
  5. Step 5: Solve for x
    x = 79,207.13/255.93
  6. Step 6: Final answer
    x = 309.49

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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.