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Finding the Fourth Proportional to 284.40, 384.30 and 284.40

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Solution

The fourth proportional to 284.40, 384.30 and 284.40 is: 384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 384.30 = 284.40 : x
  2. Step 2: Convert to fraction form
    284.40/384.30 = 284.40/x
  3. Step 3: Cross multiply
    284.40x = 384.30 × 284.40
  4. Step 4: Simplify right side
    284.40x = 109,294.92
  5. Step 5: Solve for x
    x = 109,294.92/284.40
  6. Step 6: Final answer
    x = 384.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.