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Finding the Fourth Proportional to 431.40, 594.78 and 283.80

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Solution

The fourth proportional to 431.40, 594.78 and 283.80 is: 391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.40 : 594.78 = 283.80 : x
  2. Step 2: Convert to fraction form
    431.40/594.78 = 283.80/x
  3. Step 3: Cross multiply
    431.40x = 594.78 × 283.80
  4. Step 4: Simplify right side
    431.40x = 168,798.56
  5. Step 5: Solve for x
    x = 168,798.56/431.40
  6. Step 6: Final answer
    x = 391.28

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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.