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Finding the Fourth Proportional to 462.02, 693.03 and 169.40

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Solution

The fourth proportional to 462.02, 693.03 and 169.40 is: 254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.02 : 693.03 = 169.40 : x
  2. Step 2: Convert to fraction form
    462.02/693.03 = 169.40/x
  3. Step 3: Cross multiply
    462.02x = 693.03 × 169.40
  4. Step 4: Simplify right side
    462.02x = 117,399.28
  5. Step 5: Solve for x
    x = 117,399.28/462.02
  6. Step 6: Final answer
    x = 254.10

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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.