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Finding the Fourth Proportional to 375.16, 562.90 and 329.40

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Solution

The fourth proportional to 375.16, 562.90 and 329.40 is: 494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.16 : 562.90 = 329.40 : x
  2. Step 2: Convert to fraction form
    375.16/562.90 = 329.40/x
  3. Step 3: Cross multiply
    375.16x = 562.90 × 329.40
  4. Step 4: Simplify right side
    375.16x = 185,419.26
  5. Step 5: Solve for x
    x = 185,419.26/375.16
  6. Step 6: Final answer
    x = 494.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.