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Finding the Fourth Proportional to 462.22, 693.10 and 256.92

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Solution

The fourth proportional to 462.22, 693.10 and 256.92 is: 385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.22 : 693.10 = 256.92 : x
  2. Step 2: Convert to fraction form
    462.22/693.10 = 256.92/x
  3. Step 3: Cross multiply
    462.22x = 693.10 × 256.92
  4. Step 4: Simplify right side
    462.22x = 178,071.25
  5. Step 5: Solve for x
    x = 178,071.25/462.22
  6. Step 6: Final answer
    x = 385.25

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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.