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Finding the Fourth Proportional to 283.16, 423.66 and 186.50

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Solution

The fourth proportional to 283.16, 423.66 and 186.50 is: 279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.16 : 423.66 = 186.50 : x
  2. Step 2: Convert to fraction form
    283.16/423.66 = 186.50/x
  3. Step 3: Cross multiply
    283.16x = 423.66 × 186.50
  4. Step 4: Simplify right side
    283.16x = 79,012.59
  5. Step 5: Solve for x
    x = 79,012.59/283.16
  6. Step 6: Final answer
    x = 279.04

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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.