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Finding the Fourth Proportional to 284.07, 425.16 and 274.35

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Solution

The fourth proportional to 284.07, 425.16 and 274.35 is: 410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.07 : 425.16 = 274.35 : x
  2. Step 2: Convert to fraction form
    284.07/425.16 = 274.35/x
  3. Step 3: Cross multiply
    284.07x = 425.16 × 274.35
  4. Step 4: Simplify right side
    284.07x = 116,642.65
  5. Step 5: Solve for x
    x = 116,642.65/284.07
  6. Step 6: Final answer
    x = 410.61

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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.