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Finding the Fourth Proportional to 285.35, 392.29 and 275.63

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Solution

The fourth proportional to 285.35, 392.29 and 275.63 is: 378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 392.29 = 275.63 : x
  2. Step 2: Convert to fraction form
    285.35/392.29 = 275.63/x
  3. Step 3: Cross multiply
    285.35x = 392.29 × 275.63
  4. Step 4: Simplify right side
    285.35x = 108,124.24
  5. Step 5: Solve for x
    x = 108,124.24/285.35
  6. Step 6: Final answer
    x = 378.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.