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Finding the Fourth Proportional to 380.32, 525.52 and 314.72

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Solution

The fourth proportional to 380.32, 525.52 and 314.72 is: 434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.32 : 525.52 = 314.72 : x
  2. Step 2: Convert to fraction form
    380.32/525.52 = 314.72/x
  3. Step 3: Cross multiply
    380.32x = 525.52 × 314.72
  4. Step 4: Simplify right side
    380.32x = 165,391.65
  5. Step 5: Solve for x
    x = 165,391.65/380.32
  6. Step 6: Final answer
    x = 434.87

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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.