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Finding the Fourth Proportional to 468.10, 645.80 and 281.65

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Solution

The fourth proportional to 468.10, 645.80 and 281.65 is: 388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.10 : 645.80 = 281.65 : x
  2. Step 2: Convert to fraction form
    468.10/645.80 = 281.65/x
  3. Step 3: Cross multiply
    468.10x = 645.80 × 281.65
  4. Step 4: Simplify right side
    468.10x = 181,886.34
  5. Step 5: Solve for x
    x = 181,886.34/468.10
  6. Step 6: Final answer
    x = 388.57

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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.