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Finding the Fourth Proportional to 284.72, 392.84 and 232.08

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Solution

The fourth proportional to 284.72, 392.84 and 232.08 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 392.84 = 232.08 : x
  2. Step 2: Convert to fraction form
    284.72/392.84 = 232.08/x
  3. Step 3: Cross multiply
    284.72x = 392.84 × 232.08
  4. Step 4: Simplify right side
    284.72x = 91,170.31
  5. Step 5: Solve for x
    x = 91,170.31/284.72
  6. Step 6: Final answer
    x = 320.21

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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.