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Finding the Fourth Proportional to 284.58, 387.36 and 283.80

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Solution

The fourth proportional to 284.58, 387.36 and 283.80 is: 386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 387.36 = 283.80 : x
  2. Step 2: Convert to fraction form
    284.58/387.36 = 283.80/x
  3. Step 3: Cross multiply
    284.58x = 387.36 × 283.80
  4. Step 4: Simplify right side
    284.58x = 109,932.77
  5. Step 5: Solve for x
    x = 109,932.77/284.58
  6. Step 6: Final answer
    x = 386.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.