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Finding the Fourth Proportional to 458.69, 632.74 and 311.40

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Solution

The fourth proportional to 458.69, 632.74 and 311.40 is: 429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.69 : 632.74 = 311.40 : x
  2. Step 2: Convert to fraction form
    458.69/632.74 = 311.40/x
  3. Step 3: Cross multiply
    458.69x = 632.74 × 311.40
  4. Step 4: Simplify right side
    458.69x = 197,035.24
  5. Step 5: Solve for x
    x = 197,035.24/458.69
  6. Step 6: Final answer
    x = 429.56

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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.