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Finding the Fourth Proportional to 284.24, 392.19 and 280.15

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Solution

The fourth proportional to 284.24, 392.19 and 280.15 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.24 : 392.19 = 280.15 : x
  2. Step 2: Convert to fraction form
    284.24/392.19 = 280.15/x
  3. Step 3: Cross multiply
    284.24x = 392.19 × 280.15
  4. Step 4: Simplify right side
    284.24x = 109,870.00
  5. Step 5: Solve for x
    x = 109,870.00/284.24
  6. Step 6: Final answer
    x = 386.54

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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.