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Finding the Fourth Proportional to 284.62, 425.85 and 257.62

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Solution

The fourth proportional to 284.62, 425.85 and 257.62 is: 385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.62 : 425.85 = 257.62 : x
  2. Step 2: Convert to fraction form
    284.62/425.85 = 257.62/x
  3. Step 3: Cross multiply
    284.62x = 425.85 × 257.62
  4. Step 4: Simplify right side
    284.62x = 109,707.48
  5. Step 5: Solve for x
    x = 109,707.48/284.62
  6. Step 6: Final answer
    x = 385.45

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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.