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Finding the Fourth Proportional to 285.36, 393.66 and 187.16

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Solution

The fourth proportional to 285.36, 393.66 and 187.16 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.36 : 393.66 = 187.16 : x
  2. Step 2: Convert to fraction form
    285.36/393.66 = 187.16/x
  3. Step 3: Cross multiply
    285.36x = 393.66 × 187.16
  4. Step 4: Simplify right side
    285.36x = 73,677.41
  5. Step 5: Solve for x
    x = 73,677.41/285.36
  6. Step 6: Final answer
    x = 258.19

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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.