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Finding the Fourth Proportional to 407.49, 611.46 and 188.04

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Solution

The fourth proportional to 407.49, 611.46 and 188.04 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.49 : 611.46 = 188.04 : x
  2. Step 2: Convert to fraction form
    407.49/611.46 = 188.04/x
  3. Step 3: Cross multiply
    407.49x = 611.46 × 188.04
  4. Step 4: Simplify right side
    407.49x = 114,978.94
  5. Step 5: Solve for x
    x = 114,978.94/407.49
  6. Step 6: Final answer
    x = 282.16

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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.