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Finding the Fourth Proportional to 430.11, 644.72 and 186.75

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Solution

The fourth proportional to 430.11, 644.72 and 186.75 is: 279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.11 : 644.72 = 186.75 : x
  2. Step 2: Convert to fraction form
    430.11/644.72 = 186.75/x
  3. Step 3: Cross multiply
    430.11x = 644.72 × 186.75
  4. Step 4: Simplify right side
    430.11x = 120,400.53
  5. Step 5: Solve for x
    x = 120,400.53/430.11
  6. Step 6: Final answer
    x = 279.93

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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.