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Finding the Fourth Proportional to 437.40, 656.33 and 283.29

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Solution

The fourth proportional to 437.40, 656.33 and 283.29 is: 425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 656.33 = 283.29 : x
  2. Step 2: Convert to fraction form
    437.40/656.33 = 283.29/x
  3. Step 3: Cross multiply
    437.40x = 656.33 × 283.29
  4. Step 4: Simplify right side
    437.40x = 185,932.43
  5. Step 5: Solve for x
    x = 185,932.43/437.40
  6. Step 6: Final answer
    x = 425.08

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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.