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Finding the Fourth Proportional to 284.80, 392.10 and 245.32

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Solution

The fourth proportional to 284.80, 392.10 and 245.32 is: 337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 392.10 = 245.32 : x
  2. Step 2: Convert to fraction form
    284.80/392.10 = 245.32/x
  3. Step 3: Cross multiply
    284.80x = 392.10 × 245.32
  4. Step 4: Simplify right side
    284.80x = 96,189.97
  5. Step 5: Solve for x
    x = 96,189.97/284.80
  6. Step 6: Final answer
    x = 337.75

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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.