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Finding the Fourth Proportional to 285.79, 393.49 and 252.10

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Solution

The fourth proportional to 285.79, 393.49 and 252.10 is: 347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.79 : 393.49 = 252.10 : x
  2. Step 2: Convert to fraction form
    285.79/393.49 = 252.10/x
  3. Step 3: Cross multiply
    285.79x = 393.49 × 252.10
  4. Step 4: Simplify right side
    285.79x = 99,199.80
  5. Step 5: Solve for x
    x = 99,199.80/285.79
  6. Step 6: Final answer
    x = 347.11

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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.