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Finding the Fourth Proportional to 375.45, 562.81 and 288.64

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Solution

The fourth proportional to 375.45, 562.81 and 288.64 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.45 : 562.81 = 288.64 : x
  2. Step 2: Convert to fraction form
    375.45/562.81 = 288.64/x
  3. Step 3: Cross multiply
    375.45x = 562.81 × 288.64
  4. Step 4: Simplify right side
    375.45x = 162,449.48
  5. Step 5: Solve for x
    x = 162,449.48/375.45
  6. Step 6: Final answer
    x = 432.68

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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.