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Finding the Fourth Proportional to 458.02, 686.51 and 227.07

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Solution

The fourth proportional to 458.02, 686.51 and 227.07 is: 340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 686.51 = 227.07 : x
  2. Step 2: Convert to fraction form
    458.02/686.51 = 227.07/x
  3. Step 3: Cross multiply
    458.02x = 686.51 × 227.07
  4. Step 4: Simplify right side
    458.02x = 155,885.54
  5. Step 5: Solve for x
    x = 155,885.54/458.02
  6. Step 6: Final answer
    x = 340.35

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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.