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Finding the Fourth Proportional to 283.96, 392.16 and 186.04

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Solution

The fourth proportional to 283.96, 392.16 and 186.04 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.96 : 392.16 = 186.04 : x
  2. Step 2: Convert to fraction form
    283.96/392.16 = 186.04/x
  3. Step 3: Cross multiply
    283.96x = 392.16 × 186.04
  4. Step 4: Simplify right side
    283.96x = 72,957.45
  5. Step 5: Solve for x
    x = 72,957.45/283.96
  6. Step 6: Final answer
    x = 256.93

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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.