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Finding the Fourth Proportional to 285.60, 393.54 and 236.64

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Solution

The fourth proportional to 285.60, 393.54 and 236.64 is: 326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.60 : 393.54 = 236.64 : x
  2. Step 2: Convert to fraction form
    285.60/393.54 = 236.64/x
  3. Step 3: Cross multiply
    285.60x = 393.54 × 236.64
  4. Step 4: Simplify right side
    285.60x = 93,127.31
  5. Step 5: Solve for x
    x = 93,127.31/285.60
  6. Step 6: Final answer
    x = 326.08

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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.