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Finding the Fourth Proportional to 375.64, 566.38 and 329.86

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Solution

The fourth proportional to 375.64, 566.38 and 329.86 is: 497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.64 : 566.38 = 329.86 : x
  2. Step 2: Convert to fraction form
    375.64/566.38 = 329.86/x
  3. Step 3: Cross multiply
    375.64x = 566.38 × 329.86
  4. Step 4: Simplify right side
    375.64x = 186,826.11
  5. Step 5: Solve for x
    x = 186,826.11/375.64
  6. Step 6: Final answer
    x = 497.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.