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Finding the Fourth Proportional to 284.40, 393.24 and 247.95

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Solution

The fourth proportional to 284.40, 393.24 and 247.95 is: 342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 393.24 = 247.95 : x
  2. Step 2: Convert to fraction form
    284.40/393.24 = 247.95/x
  3. Step 3: Cross multiply
    284.40x = 393.24 × 247.95
  4. Step 4: Simplify right side
    284.40x = 97,503.86
  5. Step 5: Solve for x
    x = 97,503.86/284.40
  6. Step 6: Final answer
    x = 342.84

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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.