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Finding the Fourth Proportional to 407.40, 611.04 and 118.86

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Solution

The fourth proportional to 407.40, 611.04 and 118.86 is: 178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 611.04 = 118.86 : x
  2. Step 2: Convert to fraction form
    407.40/611.04 = 118.86/x
  3. Step 3: Cross multiply
    407.40x = 611.04 × 118.86
  4. Step 4: Simplify right side
    407.40x = 72,628.21
  5. Step 5: Solve for x
    x = 72,628.21/407.40
  6. Step 6: Final answer
    x = 178.27

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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.