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Finding the Fourth Proportional to 283.52, 423.20 and 260.72

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Solution

The fourth proportional to 283.52, 423.20 and 260.72 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.52 : 423.20 = 260.72 : x
  2. Step 2: Convert to fraction form
    283.52/423.20 = 260.72/x
  3. Step 3: Cross multiply
    283.52x = 423.20 × 260.72
  4. Step 4: Simplify right side
    283.52x = 110,336.70
  5. Step 5: Solve for x
    x = 110,336.70/283.52
  6. Step 6: Final answer
    x = 389.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.