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Finding the Fourth Proportional to 468.06, 645.75 and 281.40

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Solution

The fourth proportional to 468.06, 645.75 and 281.40 is: 388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.06 : 645.75 = 281.40 : x
  2. Step 2: Convert to fraction form
    468.06/645.75 = 281.40/x
  3. Step 3: Cross multiply
    468.06x = 645.75 × 281.40
  4. Step 4: Simplify right side
    468.06x = 181,714.05
  5. Step 5: Solve for x
    x = 181,714.05/468.06
  6. Step 6: Final answer
    x = 388.23

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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.