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Finding the Fourth Proportional to 285.48, 392.88 and 219.96

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Solution

The fourth proportional to 285.48, 392.88 and 219.96 is: 302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.48 : 392.88 = 219.96 : x
  2. Step 2: Convert to fraction form
    285.48/392.88 = 219.96/x
  3. Step 3: Cross multiply
    285.48x = 392.88 × 219.96
  4. Step 4: Simplify right side
    285.48x = 86,417.88
  5. Step 5: Solve for x
    x = 86,417.88/285.48
  6. Step 6: Final answer
    x = 302.71

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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.