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Finding the Fourth Proportional to 285.58, 393.21 and 248.74

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Solution

The fourth proportional to 285.58, 393.21 and 248.74 is: 342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.58 : 393.21 = 248.74 : x
  2. Step 2: Convert to fraction form
    285.58/393.21 = 248.74/x
  3. Step 3: Cross multiply
    285.58x = 393.21 × 248.74
  4. Step 4: Simplify right side
    285.58x = 97,807.06
  5. Step 5: Solve for x
    x = 97,807.06/285.58
  6. Step 6: Final answer
    x = 342.49

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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.