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Finding the Fourth Proportional to 380.08, 524.61 and 247.66

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Solution

The fourth proportional to 380.08, 524.61 and 247.66 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 524.61 = 247.66 : x
  2. Step 2: Convert to fraction form
    380.08/524.61 = 247.66/x
  3. Step 3: Cross multiply
    380.08x = 524.61 × 247.66
  4. Step 4: Simplify right side
    380.08x = 129,925.60
  5. Step 5: Solve for x
    x = 129,925.60/380.08
  6. Step 6: Final answer
    x = 341.84

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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.