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Finding the Fourth Proportional to 430.89, 646.33 and 122.74

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Solution

The fourth proportional to 430.89, 646.33 and 122.74 is: 184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.89 : 646.33 = 122.74 : x
  2. Step 2: Convert to fraction form
    430.89/646.33 = 122.74/x
  3. Step 3: Cross multiply
    430.89x = 646.33 × 122.74
  4. Step 4: Simplify right side
    430.89x = 79,329.93
  5. Step 5: Solve for x
    x = 79,329.93/430.89
  6. Step 6: Final answer
    x = 184.11

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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.