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Finding the Fourth Proportional to 416, 573.60 and 284.78

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Solution

The fourth proportional to 416, 573.60 and 284.78 is: 392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 573.60 = 284.78 : x
  2. Step 2: Convert to fraction form
    416/573.60 = 284.78/x
  3. Step 3: Cross multiply
    416x = 573.60 × 284.78
  4. Step 4: Simplify right side
    416x = 163,349.81
  5. Step 5: Solve for x
    x = 163,349.81/416
  6. Step 6: Final answer
    x = 392.67

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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.