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Finding the Fourth Proportional to 407.69, 611.53 and 99.54

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Solution

The fourth proportional to 407.69, 611.53 and 99.54 is: 149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.69 : 611.53 = 99.54 : x
  2. Step 2: Convert to fraction form
    407.69/611.53 = 99.54/x
  3. Step 3: Cross multiply
    407.69x = 611.53 × 99.54
  4. Step 4: Simplify right side
    407.69x = 60,868.14
  5. Step 5: Solve for x
    x = 60,868.14/407.69
  6. Step 6: Final answer
    x = 149.30

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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.