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Finding the Fourth Proportional to 375.28, 561.89 and 283.70

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Solution

The fourth proportional to 375.28, 561.89 and 283.70 is: 424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.28 : 561.89 = 283.70 : x
  2. Step 2: Convert to fraction form
    375.28/561.89 = 283.70/x
  3. Step 3: Cross multiply
    375.28x = 561.89 × 283.70
  4. Step 4: Simplify right side
    375.28x = 159,406.77
  5. Step 5: Solve for x
    x = 159,406.77/375.28
  6. Step 6: Final answer
    x = 424.77

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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.