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Finding the Fourth Proportional to 284.48, 392 and 260.80

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Solution

The fourth proportional to 284.48, 392 and 260.80 is: 359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.48 : 392 = 260.80 : x
  2. Step 2: Convert to fraction form
    284.48/392 = 260.80/x
  3. Step 3: Cross multiply
    284.48x = 392 × 260.80
  4. Step 4: Simplify right side
    284.48x = 102,233.60
  5. Step 5: Solve for x
    x = 102,233.60/284.48
  6. Step 6: Final answer
    x = 359.37

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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.