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Finding the Fourth Proportional to 458.13, 632.30 and 310.67

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Solution

The fourth proportional to 458.13, 632.30 and 310.67 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.13 : 632.30 = 310.67 : x
  2. Step 2: Convert to fraction form
    458.13/632.30 = 310.67/x
  3. Step 3: Cross multiply
    458.13x = 632.30 × 310.67
  4. Step 4: Simplify right side
    458.13x = 196,431.93
  5. Step 5: Solve for x
    x = 196,431.93/458.13
  6. Step 6: Final answer
    x = 428.77

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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.