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Finding the Fourth Proportional to 284.42, 392.32 and 184.96

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Solution

The fourth proportional to 284.42, 392.32 and 184.96 is: 255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.42 : 392.32 = 184.96 : x
  2. Step 2: Convert to fraction form
    284.42/392.32 = 184.96/x
  3. Step 3: Cross multiply
    284.42x = 392.32 × 184.96
  4. Step 4: Simplify right side
    284.42x = 72,563.51
  5. Step 5: Solve for x
    x = 72,563.51/284.42
  6. Step 6: Final answer
    x = 255.13

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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.