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Finding the Fourth Proportional to 405.94, 609 and 117.38

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Solution

The fourth proportional to 405.94, 609 and 117.38 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.94 : 609 = 117.38 : x
  2. Step 2: Convert to fraction form
    405.94/609 = 117.38/x
  3. Step 3: Cross multiply
    405.94x = 609 × 117.38
  4. Step 4: Simplify right side
    405.94x = 71,484.42
  5. Step 5: Solve for x
    x = 71,484.42/405.94
  6. Step 6: Final answer
    x = 176.10

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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.