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Finding the Fourth Proportional to 457.19, 630.81 and 309.90

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Solution

The fourth proportional to 457.19, 630.81 and 309.90 is: 427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.19 : 630.81 = 309.90 : x
  2. Step 2: Convert to fraction form
    457.19/630.81 = 309.90/x
  3. Step 3: Cross multiply
    457.19x = 630.81 × 309.90
  4. Step 4: Simplify right side
    457.19x = 195,488.02
  5. Step 5: Solve for x
    x = 195,488.02/457.19
  6. Step 6: Final answer
    x = 427.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.