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Finding the Fourth Proportional to 407.64, 611.80 and 290.54

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Solution

The fourth proportional to 407.64, 611.80 and 290.54 is: 436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 611.80 = 290.54 : x
  2. Step 2: Convert to fraction form
    407.64/611.80 = 290.54/x
  3. Step 3: Cross multiply
    407.64x = 611.80 × 290.54
  4. Step 4: Simplify right side
    407.64x = 177,752.37
  5. Step 5: Solve for x
    x = 177,752.37/407.64
  6. Step 6: Final answer
    x = 436.05

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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.