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Finding the Fourth Proportional to 284.16, 424.49 and 238.02

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Solution

The fourth proportional to 284.16, 424.49 and 238.02 is: 355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 424.49 = 238.02 : x
  2. Step 2: Convert to fraction form
    284.16/424.49 = 238.02/x
  3. Step 3: Cross multiply
    284.16x = 424.49 × 238.02
  4. Step 4: Simplify right side
    284.16x = 101,037.70
  5. Step 5: Solve for x
    x = 101,037.70/284.16
  6. Step 6: Final answer
    x = 355.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.