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Finding the Fourth Proportional to 315.15, 470.22 and 284.49

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Solution

The fourth proportional to 315.15, 470.22 and 284.49 is: 424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.15 : 470.22 = 284.49 : x
  2. Step 2: Convert to fraction form
    315.15/470.22 = 284.49/x
  3. Step 3: Cross multiply
    315.15x = 470.22 × 284.49
  4. Step 4: Simplify right side
    315.15x = 133,772.89
  5. Step 5: Solve for x
    x = 133,772.89/315.15
  6. Step 6: Final answer
    x = 424.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.