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Finding the Fourth Proportional to 380.68, 524.90 and 262.72

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Solution

The fourth proportional to 380.68, 524.90 and 262.72 is: 362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.68 : 524.90 = 262.72 : x
  2. Step 2: Convert to fraction form
    380.68/524.90 = 262.72/x
  3. Step 3: Cross multiply
    380.68x = 524.90 × 262.72
  4. Step 4: Simplify right side
    380.68x = 137,897.79
  5. Step 5: Solve for x
    x = 137,897.79/380.68
  6. Step 6: Final answer
    x = 362.24

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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.