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Finding the Fourth Proportional to 457.36, 686.14 and 213.75

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Solution

The fourth proportional to 457.36, 686.14 and 213.75 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.36 : 686.14 = 213.75 : x
  2. Step 2: Convert to fraction form
    457.36/686.14 = 213.75/x
  3. Step 3: Cross multiply
    457.36x = 686.14 × 213.75
  4. Step 4: Simplify right side
    457.36x = 146,661.89
  5. Step 5: Solve for x
    x = 146,661.89/457.36
  6. Step 6: Final answer
    x = 320.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.