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Finding the Fourth Proportional to 284.19, 428.84 and 274.02

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Solution

The fourth proportional to 284.19, 428.84 and 274.02 is: 413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.19 : 428.84 = 274.02 : x
  2. Step 2: Convert to fraction form
    284.19/428.84 = 274.02/x
  3. Step 3: Cross multiply
    284.19x = 428.84 × 274.02
  4. Step 4: Simplify right side
    284.19x = 117,510.74
  5. Step 5: Solve for x
    x = 117,510.74/284.19
  6. Step 6: Final answer
    x = 413.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.