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Finding the Fourth Proportional to 421.50, 630.44 and 304.63

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Solution

The fourth proportional to 421.50, 630.44 and 304.63 is: 455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.50 : 630.44 = 304.63 : x
  2. Step 2: Convert to fraction form
    421.50/630.44 = 304.63/x
  3. Step 3: Cross multiply
    421.50x = 630.44 × 304.63
  4. Step 4: Simplify right side
    421.50x = 192,050.94
  5. Step 5: Solve for x
    x = 192,050.94/421.50
  6. Step 6: Final answer
    x = 455.64

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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.