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Finding the Fourth Proportional to 285.39, 392.49 and 248.58

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Solution

The fourth proportional to 285.39, 392.49 and 248.58 is: 341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.39 : 392.49 = 248.58 : x
  2. Step 2: Convert to fraction form
    285.39/392.49 = 248.58/x
  3. Step 3: Cross multiply
    285.39x = 392.49 × 248.58
  4. Step 4: Simplify right side
    285.39x = 97,565.16
  5. Step 5: Solve for x
    x = 97,565.16/285.39
  6. Step 6: Final answer
    x = 341.87

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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.