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Finding the Fourth Proportional to 430.21, 644.86 and 186.91

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Solution

The fourth proportional to 430.21, 644.86 and 186.91 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.21 : 644.86 = 186.91 : x
  2. Step 2: Convert to fraction form
    430.21/644.86 = 186.91/x
  3. Step 3: Cross multiply
    430.21x = 644.86 × 186.91
  4. Step 4: Simplify right side
    430.21x = 120,529.40
  5. Step 5: Solve for x
    x = 120,529.40/430.21
  6. Step 6: Final answer
    x = 280.16

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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.