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Finding the Fourth Proportional to 255.70, 382.93 and 147.28

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Solution

The fourth proportional to 255.70, 382.93 and 147.28 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.70 : 382.93 = 147.28 : x
  2. Step 2: Convert to fraction form
    255.70/382.93 = 147.28/x
  3. Step 3: Cross multiply
    255.70x = 382.93 × 147.28
  4. Step 4: Simplify right side
    255.70x = 56,397.93
  5. Step 5: Solve for x
    x = 56,397.93/255.70
  6. Step 6: Final answer
    x = 220.56

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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.