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Finding the Fourth Proportional to 457.89, 632.30 and 311.07

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Solution

The fourth proportional to 457.89, 632.30 and 311.07 is: 429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.89 : 632.30 = 311.07 : x
  2. Step 2: Convert to fraction form
    457.89/632.30 = 311.07/x
  3. Step 3: Cross multiply
    457.89x = 632.30 × 311.07
  4. Step 4: Simplify right side
    457.89x = 196,688.01
  5. Step 5: Solve for x
    x = 196,688.01/457.89
  6. Step 6: Final answer
    x = 429.55

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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.