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Finding the Fourth Proportional to 284.07, 425.57 and 146.64

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Solution

The fourth proportional to 284.07, 425.57 and 146.64 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.07 : 425.57 = 146.64 : x
  2. Step 2: Convert to fraction form
    284.07/425.57 = 146.64/x
  3. Step 3: Cross multiply
    284.07x = 425.57 × 146.64
  4. Step 4: Simplify right side
    284.07x = 62,404.85
  5. Step 5: Solve for x
    x = 62,404.85/284.07
  6. Step 6: Final answer
    x = 219.68

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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.