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Finding the Fourth Proportional to 285.74, 393.40 and 248.90

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Solution

The fourth proportional to 285.74, 393.40 and 248.90 is: 342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 393.40 = 248.90 : x
  2. Step 2: Convert to fraction form
    285.74/393.40 = 248.90/x
  3. Step 3: Cross multiply
    285.74x = 393.40 × 248.90
  4. Step 4: Simplify right side
    285.74x = 97,917.26
  5. Step 5: Solve for x
    x = 97,917.26/285.74
  6. Step 6: Final answer
    x = 342.68

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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.