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Finding the Fourth Proportional to 458.36, 632.10 and 311.16

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Solution

The fourth proportional to 458.36, 632.10 and 311.16 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.36 : 632.10 = 311.16 : x
  2. Step 2: Convert to fraction form
    458.36/632.10 = 311.16/x
  3. Step 3: Cross multiply
    458.36x = 632.10 × 311.16
  4. Step 4: Simplify right side
    458.36x = 196,684.24
  5. Step 5: Solve for x
    x = 196,684.24/458.36
  6. Step 6: Final answer
    x = 429.10

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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.