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Finding the Fourth Proportional to 284.48, 428.54 and 248.36

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Solution

The fourth proportional to 284.48, 428.54 and 248.36 is: 374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.48 : 428.54 = 248.36 : x
  2. Step 2: Convert to fraction form
    284.48/428.54 = 248.36/x
  3. Step 3: Cross multiply
    284.48x = 428.54 × 248.36
  4. Step 4: Simplify right side
    284.48x = 106,432.19
  5. Step 5: Solve for x
    x = 106,432.19/284.48
  6. Step 6: Final answer
    x = 374.13

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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.