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Finding the Fourth Proportional to 284.30, 424.12 and 238.94

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Solution

The fourth proportional to 284.30, 424.12 and 238.94 is: 356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.30 : 424.12 = 238.94 : x
  2. Step 2: Convert to fraction form
    284.30/424.12 = 238.94/x
  3. Step 3: Cross multiply
    284.30x = 424.12 × 238.94
  4. Step 4: Simplify right side
    284.30x = 101,339.23
  5. Step 5: Solve for x
    x = 101,339.23/284.30
  6. Step 6: Final answer
    x = 356.45

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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.