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Finding the Fourth Proportional to 458.64, 632.52 and 311.22

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Solution

The fourth proportional to 458.64, 632.52 and 311.22 is: 429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 632.52 = 311.22 : x
  2. Step 2: Convert to fraction form
    458.64/632.52 = 311.22/x
  3. Step 3: Cross multiply
    458.64x = 632.52 × 311.22
  4. Step 4: Simplify right side
    458.64x = 196,852.87
  5. Step 5: Solve for x
    x = 196,852.87/458.64
  6. Step 6: Final answer
    x = 429.21

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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.