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Finding the Fourth Proportional to 420.19, 630.62 and 304.69

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Solution

The fourth proportional to 420.19, 630.62 and 304.69 is: 457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.19 : 630.62 = 304.69 : x
  2. Step 2: Convert to fraction form
    420.19/630.62 = 304.69/x
  3. Step 3: Cross multiply
    420.19x = 630.62 × 304.69
  4. Step 4: Simplify right side
    420.19x = 192,138.93
  5. Step 5: Solve for x
    x = 192,138.93/420.19
  6. Step 6: Final answer
    x = 457.27

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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.