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Finding the Fourth Proportional to 382.47, 526.88 and 277.25

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Solution

The fourth proportional to 382.47, 526.88 and 277.25 is: 381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 526.88 = 277.25 : x
  2. Step 2: Convert to fraction form
    382.47/526.88 = 277.25/x
  3. Step 3: Cross multiply
    382.47x = 526.88 × 277.25
  4. Step 4: Simplify right side
    382.47x = 146,073.46
  5. Step 5: Solve for x
    x = 146,073.46/382.47
  6. Step 6: Final answer
    x = 381.92

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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.