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Finding the Fourth Proportional to 407.21, 610.80 and 118.64

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Solution

The fourth proportional to 407.21, 610.80 and 118.64 is: 177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.21 : 610.80 = 118.64 : x
  2. Step 2: Convert to fraction form
    407.21/610.80 = 118.64/x
  3. Step 3: Cross multiply
    407.21x = 610.80 × 118.64
  4. Step 4: Simplify right side
    407.21x = 72,462.26
  5. Step 5: Solve for x
    x = 72,462.26/407.21
  6. Step 6: Final answer
    x = 177.95

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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.