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Finding the Fourth Proportional to 462.06, 637.20 and 282.56

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Solution

The fourth proportional to 462.06, 637.20 and 282.56 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 637.20 = 282.56 : x
  2. Step 2: Convert to fraction form
    462.06/637.20 = 282.56/x
  3. Step 3: Cross multiply
    462.06x = 637.20 × 282.56
  4. Step 4: Simplify right side
    462.06x = 180,047.23
  5. Step 5: Solve for x
    x = 180,047.23/462.06
  6. Step 6: Final answer
    x = 389.66

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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.